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...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ;Boston
De Gruyter
[2017]
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| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-898 DE-859 DE-860 DE-706 DE-739 Volltext |
| Summary: | 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 |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017) |
| Physical Description: | 1 online resource (156pages) |
| ISBN: | 9783110480214 |
| DOI: | 10.1515/9783110480214 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2025-02-18T15:09:45Z |
| institution | BVB |
| isbn | 9783110480214 |
| language | English |
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| spelling | Kirtland, Joseph (DE-588)1188484699 aut Complementation of Normal Subgroups In Finite Groups Joseph Kirtland Berlin ;Boston De Gruyter [2017] © 2017 1 online resource (156pages) txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017) 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 Normale Gruppe Untergruppe Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Komplement Mathematik (DE-588)4511279-4 gnd rswk-swf Untergruppe (DE-588)4224972-7 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Untergruppe (DE-588)4224972-7 s Komplement Mathematik (DE-588)4511279-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-3-11-047879-2 https://doi.org/10.1515/9783110480214 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kirtland, Joseph Complementation of Normal Subgroups In Finite Groups Normale Gruppe Untergruppe Endliche Gruppe (DE-588)4014651-0 gnd Komplement Mathematik (DE-588)4511279-4 gnd Untergruppe (DE-588)4224972-7 gnd |
| subject_GND | (DE-588)4014651-0 (DE-588)4511279-4 (DE-588)4224972-7 |
| title | Complementation of Normal Subgroups In Finite Groups |
| 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 | Normale Gruppe Untergruppe Endliche Gruppe (DE-588)4014651-0 gnd Komplement Mathematik (DE-588)4511279-4 gnd Untergruppe (DE-588)4224972-7 gnd |
| topic_facet | Normale Gruppe Untergruppe Endliche Gruppe Komplement Mathematik |
| url | https://doi.org/10.1515/9783110480214 |
| work_keys_str_mv | AT kirtlandjoseph complementationofnormalsubgroupsinfinitegroups |