Complementation of Normal Subgroups : : In Finite Groups / / Joseph Kirtland.
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...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2017 |
| Year of Publication: | 2017 |
| Language: | English |
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| Physical Description: | 1 online resource (XII, 144 p.) |
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Kirtland, Joseph, author. aut http://id.loc.gov/vocabulary/relators/aut Complementation of Normal Subgroups : In Finite Groups / Joseph Kirtland. Berlin ; Boston : De Gruyter, [2017] ©2017 1 online resource (XII, 144 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Finite groups. Sylow subgroups. Normale Gruppe. Untergruppe. MATHEMATICS / Group Theory. bisacsh Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 9783110719543 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 9783110540550 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 9783110625264 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 9783110548204 ZDB-23-DMA EPUB 9783110478921 print 9783110478792 https://doi.org/10.1515/9783110480214 https://www.degruyter.com/isbn/9783110480214 Cover https://www.degruyter.com/cover/covers/9783110480214.jpg |
| language |
English |
| format |
eBook |
| author |
Kirtland, Joseph, Kirtland, Joseph, |
| spellingShingle |
Kirtland, Joseph, 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 |
| author_facet |
Kirtland, Joseph, Kirtland, Joseph, |
| author_variant |
j k jk j k jk |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Kirtland, Joseph, |
| title |
Complementation of Normal Subgroups : In Finite Groups / |
| title_sub |
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_auth |
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_new |
Complementation of Normal Subgroups : |
| title_sort |
complementation of normal subgroups : in finite groups / |
| publisher |
De Gruyter, |
| publishDate |
2017 |
| physical |
1 online resource (XII, 144 p.) |
| 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 |
| isbn |
9783110480214 9783110719543 9783110540550 9783110625264 9783110548204 9783110478921 9783110478792 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA177 |
| callnumber-sort |
QA 3177 K4945 42017 |
| url |
https://doi.org/10.1515/9783110480214 https://www.degruyter.com/isbn/9783110480214 https://www.degruyter.com/cover/covers/9783110480214.jpg |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
512 - Algebra |
| dewey-full |
512/.23 |
| dewey-sort |
3512 223 |
| dewey-raw |
512/.23 |
| dewey-search |
512/.23 |
| doi_str_mv |
10.1515/9783110480214 |
| oclc_num |
1004882917 |
| work_keys_str_mv |
AT kirtlandjoseph complementationofnormalsubgroupsinfinitegroups |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)466716 (OCoLC)1004882917 |
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cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE ENGLISH 2017 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2017 |
| is_hierarchy_title |
Complementation of Normal Subgroups : In Finite Groups / |
| container_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 |
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1806144419915628544 |
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