Group rings of finite groups over p-adic integers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin, [u.a.]
Springer
1983
|
| Schriftenreihe: | Lecture notes in mathematics
1026 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 151 Seiten Illustrationen |
| ISBN: | 3540127283 0387127283 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000249724 | ||
| 003 | DE-604 | ||
| 005 | 20240903 | ||
| 007 | t | ||
| 008 | 870612s1983 a||| m||| 00||| eng d | ||
| 020 | |a 3540127283 |9 3-540-12728-3 | ||
| 020 | |a 0387127283 |9 0-387-12728-3 | ||
| 035 | |a (OCoLC)9919151 | ||
| 035 | |a (DE-599)BVBBV000249724 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-384 |a DE-355 |a DE-20 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-83 |a DE-188 |a DE-91G |a DE-11 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 512/.22 |2 19 | |
| 082 | 0 | |a 510 |2 19 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 16A26 |2 msc/1980 | ||
| 084 | |a 16A18 |2 msc/1980 | ||
| 084 | |a 16A64 |2 msc/1980 | ||
| 084 | |a 20C05 |2 msc/1980 | ||
| 084 | |a 20C11 |2 msc/1980 | ||
| 084 | |a 20C20 |2 msc/1980 | ||
| 100 | 1 | |a Plesken, Wilhelm |d 1950- |0 (DE-588)115706070 |4 aut | |
| 245 | 1 | 0 | |a Group rings of finite groups over p-adic integers |c Wilhelm Plesken |
| 264 | 1 | |a Berlin, [u.a.] |b Springer |c 1983 | |
| 300 | |a 151 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1026 | |
| 502 | |a Teilw. zugl.: Aachen, TH, Habil.-Schr. | ||
| 650 | 4 | |a Anneaux de groupes | |
| 650 | 4 | |a Groupes finis | |
| 650 | 4 | |a Nombres p-adiques | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Group rings | |
| 650 | 4 | |a p-adic numbers | |
| 650 | 0 | 7 | |a Endliche Gruppe |0 (DE-588)4014651-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppenring |0 (DE-588)4158469-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adische Zahl |0 (DE-588)4044292-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Gruppenring |0 (DE-588)4158469-7 |D s |
| 689 | 0 | 1 | |a Endliche Gruppe |0 (DE-588)4014651-0 |D s |
| 689 | 0 | 2 | |a p-adische Zahl |0 (DE-588)4044292-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in mathematics |v 1026 |w (DE-604)BV000676446 |9 1026 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000150515&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-000150515 | |
Datensatz im Suchindex
| _version_ | 1809222141046947840 |
|---|---|
| adam_text |
CONTENTS
I. Introduction 1
II. Graduated and graduable Orders
a. Definition and characterization of graduated Orders 7
b. Graduable Orders 21
c. Some properties of graduated orders, graduated hulls 35
III. The conductor formula for graduated hulls of selfdual
orders 43
IV. Selfdual orders with decomposition numbers 0 and 1 59
V. Blocks of multiplicity 1 80
VI. Examples of group rings 92
VII. The principal 2 block of SI 2(q) for odd prime powers q 109
VIII. Blocks with cyclic defect groups 131
References 146
Index 150 |
| any_adam_object | 1 |
| author | Plesken, Wilhelm 1950- |
| author_GND | (DE-588)115706070 |
| author_facet | Plesken, Wilhelm 1950- |
| author_role | aut |
| author_sort | Plesken, Wilhelm 1950- |
| author_variant | w p wp |
| building | Verbundindex |
| bvnumber | BV000249724 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)9919151 (DE-599)BVBBV000249724 |
| dewey-full | 512/.22 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.22 510 |
| dewey-search | 512/.22 510 |
| dewey-sort | 3512 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV000249724</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240903</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1983 a||| m||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540127283</subfield><subfield code="9">3-540-12728-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387127283</subfield><subfield code="9">0-387-12728-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)9919151</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000249724</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.22</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16A26</subfield><subfield code="2">msc/1980</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16A18</subfield><subfield code="2">msc/1980</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16A64</subfield><subfield code="2">msc/1980</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">20C05</subfield><subfield code="2">msc/1980</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">20C11</subfield><subfield code="2">msc/1980</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">20C20</subfield><subfield code="2">msc/1980</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Plesken, Wilhelm</subfield><subfield code="d">1950-</subfield><subfield code="0">(DE-588)115706070</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Group rings of finite groups over p-adic integers</subfield><subfield code="c">Wilhelm Plesken</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1983</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">151 Seiten</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1026</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Teilw. zugl.: Aachen, TH, Habil.-Schr.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Anneaux de groupes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Groupes finis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nombres p-adiques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finite groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group rings</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">p-adic numbers</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Endliche Gruppe</subfield><subfield code="0">(DE-588)4014651-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppenring</subfield><subfield code="0">(DE-588)4158469-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">p-adische Zahl</subfield><subfield code="0">(DE-588)4044292-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Gruppenring</subfield><subfield code="0">(DE-588)4158469-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Endliche Gruppe</subfield><subfield code="0">(DE-588)4014651-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">p-adische Zahl</subfield><subfield code="0">(DE-588)4044292-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1026</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1026</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000150515&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000150515</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV000249724 |
| illustrated | Illustrated |
| indexdate | 2024-09-04T00:11:28Z |
| institution | BVB |
| isbn | 3540127283 0387127283 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000150515 |
| oclc_num | 9919151 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-83 DE-188 DE-91G DE-BY-TUM DE-11 |
| owner_facet | DE-12 DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-83 DE-188 DE-91G DE-BY-TUM DE-11 |
| physical | 151 Seiten Illustrationen |
| psigel | TUB-nveb |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Plesken, Wilhelm 1950- (DE-588)115706070 aut Group rings of finite groups over p-adic integers Wilhelm Plesken Berlin, [u.a.] Springer 1983 151 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1026 Teilw. zugl.: Aachen, TH, Habil.-Schr. Anneaux de groupes Groupes finis Nombres p-adiques Finite groups Group rings p-adic numbers Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Gruppenring (DE-588)4158469-7 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gruppenring (DE-588)4158469-7 s Endliche Gruppe (DE-588)4014651-0 s p-adische Zahl (DE-588)4044292-5 s DE-604 Lecture notes in mathematics 1026 (DE-604)BV000676446 1026 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000150515&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Plesken, Wilhelm 1950- Group rings of finite groups over p-adic integers Lecture notes in mathematics Anneaux de groupes Groupes finis Nombres p-adiques Finite groups Group rings p-adic numbers Endliche Gruppe (DE-588)4014651-0 gnd Gruppenring (DE-588)4158469-7 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| subject_GND | (DE-588)4014651-0 (DE-588)4158469-7 (DE-588)4044292-5 (DE-588)4113937-9 |
| title | Group rings of finite groups over p-adic integers |
| title_auth | Group rings of finite groups over p-adic integers |
| title_exact_search | Group rings of finite groups over p-adic integers |
| title_full | Group rings of finite groups over p-adic integers Wilhelm Plesken |
| title_fullStr | Group rings of finite groups over p-adic integers Wilhelm Plesken |
| title_full_unstemmed | Group rings of finite groups over p-adic integers Wilhelm Plesken |
| title_short | Group rings of finite groups over p-adic integers |
| title_sort | group rings of finite groups over p adic integers |
| topic | Anneaux de groupes Groupes finis Nombres p-adiques Finite groups Group rings p-adic numbers Endliche Gruppe (DE-588)4014651-0 gnd Gruppenring (DE-588)4158469-7 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| topic_facet | Anneaux de groupes Groupes finis Nombres p-adiques Finite groups Group rings p-adic numbers Endliche Gruppe Gruppenring p-adische Zahl Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000150515&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT pleskenwilhelm groupringsoffinitegroupsoverpadicintegers |