Complementation of normal subgroups :: in finite groups /
Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian norma...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2017]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. ContentsPrerequisitesThe Schur-Zassenhaus theorem: A bit of history and motivationAbelian and minimal normal subgroupsReduction theoremsSubgroups in the chief series, derived series, and lower nilpotent seriesNormal subgroups with abelian sylow subgroupsThe formation generationGroups with specific classes of subgroups complemented. |
| Beschreibung: | 1 online resource (xii, 144 pages) |
| Bibliographie: | Includes bibliographical references and indexes. |
| ISBN: | 9783110480214 3110480212 9783110478921 3110478927 9783110480221 3110480220 |
Internformat
MARC
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| 245 | 1 | 0 | |a Complementation of normal subgroups : |b in finite groups / |c Joseph Kirtland. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2017] | |
| 264 | 4 | |c ©2017 | |
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| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Notation -- |t 1. Prerequisites -- |t 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- |t 3. Abelian and minimal normal subgroups -- |t 4. Reduction theorems -- |t 5. Subgroups in the chief series, derived series, and lower nilpotent series -- |t 6. Normal subgroups with abelian sylow subgroups -- |t 7. The formation generation -- |t 8. Groups with specific classes of subgroups complemented -- |t Bibliography -- |t Author index -- |t Subject index. |
| 520 | |a Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. ContentsPrerequisitesThe Schur-Zassenhaus theorem: A bit of history and motivationAbelian and minimal normal subgroupsReduction theoremsSubgroups in the chief series, derived series, and lower nilpotent seriesNormal subgroups with abelian sylow subgroupsThe formation generationGroups with specific classes of subgroups complemented. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017). | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 650 | 0 | |a Finite groups. |0 http://id.loc.gov/authorities/subjects/sh85048354 | |
| 650 | 0 | |a Sylow subgroups. |0 http://id.loc.gov/authorities/subjects/sh85131388 | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 6 | |a Sous-groupes de Sylow. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Finite groups |2 fast | |
| 650 | 7 | |a Sylow subgroups |2 fast | |
| 650 | 7 | |a Endliche Gruppe |2 gnd | |
| 650 | 7 | |a Untergruppe |2 gnd |0 http://d-nb.info/gnd/4224972-7 | |
| 650 | 7 | |a Komplement |g Mathematik |2 gnd |0 http://d-nb.info/gnd/4511279-4 | |
| 653 | |a (Produktform)Electronic book text | ||
| 653 | |a (Zielgruppe)Fachpublikum/ Wissenschaft | ||
| 653 | |a (BISAC Subject Heading)MAT014000 | ||
| 653 | |a (BISAC Subject Heading)MAT008000: MAT008000 MATHEMATICS / Discrete Mathematics | ||
| 653 | |a Normale Gruppe | ||
| 653 | |a Untergruppe | ||
| 653 | |a (VLB-WN)9620 | ||
| 653 | |a (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke | ||
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| author | Kirtland, Joseph |
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| contents | Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index. |
| ctrlnum | (OCoLC)1004882917 |
| dewey-full | 512.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.23 |
| dewey-search | 512.23 |
| dewey-sort | 3512.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:28:02Z |
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| oclc_num | 1004882917 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 144 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | De Gruyter, |
| record_format | marc |
| spelling | Kirtland, Joseph, author. https://id.oclc.org/worldcat/entity/E39PCjB4X3qQMHYkbXf4KQyXBd http://id.loc.gov/authorities/names/nb2001007099 Complementation of normal subgroups : in finite groups / Joseph Kirtland. Berlin ; Boston : De Gruyter, [2017] ©2017 1 online resource (xii, 144 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index. Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations. ContentsPrerequisitesThe Schur-Zassenhaus theorem: A bit of history and motivationAbelian and minimal normal subgroupsReduction theoremsSubgroups in the chief series, derived series, and lower nilpotent seriesNormal subgroups with abelian sylow subgroupsThe formation generationGroups with specific classes of subgroups complemented. In English. Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017). Includes bibliographical references and indexes. Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Sylow subgroups. http://id.loc.gov/authorities/subjects/sh85131388 Groupes finis. Sous-groupes de Sylow. MATHEMATICS Algebra Intermediate. bisacsh Finite groups fast Sylow subgroups fast Endliche Gruppe gnd Untergruppe gnd http://d-nb.info/gnd/4224972-7 Komplement Mathematik gnd http://d-nb.info/gnd/4511279-4 (Produktform)Electronic book text (Zielgruppe)Fachpublikum/ Wissenschaft (BISAC Subject Heading)MAT014000 (BISAC Subject Heading)MAT008000: MAT008000 MATHEMATICS / Discrete Mathematics Normale Gruppe Untergruppe (VLB-WN)9620 (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke has work: Complementation of normal subgroups (Text) https://id.oclc.org/worldcat/entity/E39PCH8CqGYWRQ4qPR97HkdTQC https://id.oclc.org/worldcat/ontology/hasWork bundle 9783110480221 EPUB 9783110478921 print 9783110478792 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1595392 Volltext |
| spellingShingle | Kirtland, Joseph Complementation of normal subgroups : in finite groups / Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index. Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Sylow subgroups. http://id.loc.gov/authorities/subjects/sh85131388 Groupes finis. Sous-groupes de Sylow. MATHEMATICS Algebra Intermediate. bisacsh Finite groups fast Sylow subgroups fast Endliche Gruppe gnd Untergruppe gnd http://d-nb.info/gnd/4224972-7 Komplement Mathematik gnd http://d-nb.info/gnd/4511279-4 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85048354 http://id.loc.gov/authorities/subjects/sh85131388 http://d-nb.info/gnd/4224972-7 http://d-nb.info/gnd/4511279-4 |
| title | Complementation of normal subgroups : in finite groups / |
| title_alt | Frontmatter -- Preface -- Contents -- Notation -- 1. Prerequisites -- 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- 3. Abelian and minimal normal subgroups -- 4. Reduction theorems -- 5. Subgroups in the chief series, derived series, and lower nilpotent series -- 6. Normal subgroups with abelian sylow subgroups -- 7. The formation generation -- 8. Groups with specific classes of subgroups complemented -- Bibliography -- Author index -- Subject index. |
| title_auth | Complementation of normal subgroups : in finite groups / |
| title_exact_search | Complementation of normal subgroups : in finite groups / |
| title_full | Complementation of normal subgroups : in finite groups / Joseph Kirtland. |
| title_fullStr | Complementation of normal subgroups : in finite groups / Joseph Kirtland. |
| title_full_unstemmed | Complementation of normal subgroups : in finite groups / Joseph Kirtland. |
| title_short | Complementation of normal subgroups : |
| title_sort | complementation of normal subgroups in finite groups |
| title_sub | in finite groups / |
| topic | Finite groups. http://id.loc.gov/authorities/subjects/sh85048354 Sylow subgroups. http://id.loc.gov/authorities/subjects/sh85131388 Groupes finis. Sous-groupes de Sylow. MATHEMATICS Algebra Intermediate. bisacsh Finite groups fast Sylow subgroups fast Endliche Gruppe gnd Untergruppe gnd http://d-nb.info/gnd/4224972-7 Komplement Mathematik gnd http://d-nb.info/gnd/4511279-4 |
| topic_facet | Finite groups. Sylow subgroups. Groupes finis. Sous-groupes de Sylow. MATHEMATICS Algebra Intermediate. Finite groups Sylow subgroups Endliche Gruppe Untergruppe Komplement Mathematik |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1595392 |
| work_keys_str_mv | AT kirtlandjoseph complementationofnormalsubgroupsinfinitegroups |