Biset functors for finite groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
|
| Series: | Lecture notes in mathematics
1990 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | IX, 299 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642112966 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1805093780976566272 |
|---|---|
| adam_text |
CONTENTS 1 EXAMPLES 1 1.1 REPRESENTATION GROUPS 1 1.2 OTHER EXAMPLES 6
1.3 BISET FUNCTORS 9 1.4 HISTORICAL NOTES 10 1.5 ABOUT THIS BOOK 10 PART
I GENERAL PROPERTIES 2 G-SETS AND (H, G)-BISETS 15 2.1 LEFT G-SETS AND
RIGHT G-SETS 15 2.2 OPERATIONS ON G-SETS 17 2.3 BISETS 18 2.4 BURNSIDE
GROUPS 28 2.5 BURNSIDE RINGS 31 3 BISET FUNCTORS 41 3.1 THE BISET
CATEGORY OF FINITE GROUPS 41 3.2 BISET FUNCTORS 43 3.3 RESTRICTION TO
SUBCATEGORIES 47 4 SIMPLE FUNCTORS 53 4.1 ADMISSIBLE SUBCATEGORIES 53
4.2 RESTRICTION AND INDUCTION 56 4.3 THE CASE OF AN ADMISSIBLE
SUBCATEGORY 58 4.4 EXAMPLES 69 PART II BISET FUNCTORS ON REPLETE
SUBCATEGORIES 5 THE BURNSIDE FUNCTOR 75 5.1 THE BURNSIDE FUNCTOR 75 5.2
EFFECT OF BISET OPERATIONS ON IDEMPOTENTS 76 5.3 PROPERTIES OF THE MC^'S
79 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1000035158
DIGITALISIERT DURCH VIA CONTENTS 5.4 SUBFUNCTORS IN COPRIRNE
CHARACTERISTIC 83 5.5 APPLICATION: SOME SIMPLE BISET FUNCTORS 89 5.6
EXAMPLES 91 6 ENDOMORPHISM ALGEBRAS 97 6.1 SIMPLE MODULES AND RADICAL 97
6.2 IDEMPOTENTS 104 6.3 FAITHFUL ELEMENTS 109 6.4 MORE IDEMPOTENTS ILL
6.5 THE CASE OF INVERTIBLE GROUP ORDER 114 7 THE FUNCTOR CAC 121 7.1
DEFINITION 121 7.2 DECOMPOSITION 124 7.3 SEMISIMPLICITY 130 7.4 THE
SIMPLE SUMMANDS OF CRC 133 8 TENSOR PRODUCT AND INTERNAL HORN 135 8.1
BISETS AND DIRECT PRODUCTS 135 8.2 THE YONEDA-DRESS CONSTRUCTION 136 8.3
INTERNAL HORN FOR BISET FUNCTORS 139 8.4 TENSOR PRODUCT OF BISET
FUNCTORS 140 8.5 GREEN BISET FUNCTORS 147 8.6 MORE ON YL-MODULES 151
PART III P-BISET FUNCTORS 9 RATIONAL REPRESENTATIONS OF P-GROUPS 155 9.1
THE FUNCTOR OF RATIONAL REPRESENTATIONS 155 9.2 THE RITTER-SEGAL THEOREM
REVISITED 156 9.3 GROUPS OF NORMAL P-RANK 1 158 9.4 THE ROQUETTE THEOREM
REVISITED 162 9.5 CHARACTERIZATION OF GENETIC SUBGROUPS 165 9.6 GENETIC
BASES 170 9.7 GENETIC BASES AND SUBGROUPS 178 10 P-BISET FUNCTORS 183
10.1 RATIONAL P-BISET FUNCTORS 183 10.2 SUBFUNCTORS OF RATIONAL P-BISET
FUNCTORS 186 10. CONTENTS IX 11 APPLICATIONS 215 11.1 THE KERNEL OF THE
LINEARIZATION MORPHISM 215 11.2 UNITS OF BURNSIDE RINGS 223 12 THE DADE
GROUP 241 12.1 PERMUTATION MODULES AND ALGEBRAS 242 12.2
ENDO-PERMUTATION MODULES 243 12.3 DADE P- ALGEBRAS 248 12.4 BISETS AND
PERMUTATION MODULES 253 12.5 BISETS AND PERMUTATION ALGEBRAS 263 12.6
RELATIVE SYZYGIES 272 12.7 A SHORT EXACT SEQUENCE OF BISET FUNCTORS 275
12.8 BOREL-SMITH FUNCTIONS 277 12.9 THE DADE GROUP UP TO RELATIVE
SYZYGIES 283 12.10 THE TORSION SUBGROUP OF THE DADE GROUP 291 REFERENCES
293 INDEX 297 |
| any_adam_object | 1 |
| author | Bouc, Serge 1955- |
| author_GND | (DE-588)115609873 |
| author_facet | Bouc, Serge 1955- |
| author_role | aut |
| author_sort | Bouc, Serge 1955- |
| author_variant | s b sb |
| building | Verbundindex |
| bvnumber | BV036112680 |
| classification_rvk | SI 850 |
| classification_tum | MAT 203f MAT 202f MAT 182f |
| ctrlnum | (OCoLC)607552338 (DE-599)DNB1000035158 |
| dewey-full | 512.62 512.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.62 512.23 |
| dewey-search | 512.62 512.23 |
| dewey-sort | 3512.62 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036112680 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T10:32:56Z |
| institution | BVB |
| isbn | 9783642112966 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019002836 |
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| owner_facet | DE-824 DE-83 DE-91G DE-BY-TUM DE-11 DE-188 |
| physical | IX, 299 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Bouc, Serge 1955- Verfasser (DE-588)115609873 aut Biset functors for finite groups Serge Bouc Berlin [u.a.] Springer 2010 IX, 299 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1990 Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Funktor (DE-588)4130706-9 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Darstellungstheorie (DE-588)4148816-7 s Funktor (DE-588)4130706-9 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-11297-3 Lecture notes in mathematics 1990 (DE-604)BV000676446 1990 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3423919&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019002836&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bouc, Serge 1955- Biset functors for finite groups Lecture notes in mathematics Endliche Gruppe (DE-588)4014651-0 gnd Funktor (DE-588)4130706-9 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| subject_GND | (DE-588)4014651-0 (DE-588)4130706-9 (DE-588)4148816-7 |
| title | Biset functors for finite groups |
| title_auth | Biset functors for finite groups |
| title_exact_search | Biset functors for finite groups |
| title_full | Biset functors for finite groups Serge Bouc |
| title_fullStr | Biset functors for finite groups Serge Bouc |
| title_full_unstemmed | Biset functors for finite groups Serge Bouc |
| title_short | Biset functors for finite groups |
| title_sort | biset functors for finite groups |
| topic | Endliche Gruppe (DE-588)4014651-0 gnd Funktor (DE-588)4130706-9 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| topic_facet | Endliche Gruppe Funktor Darstellungstheorie |
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| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT boucserge bisetfunctorsforfinitegroups |