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Complementation of normal subgroups
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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. Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented
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Complementation of normal subgroups, Joseph Kirtland
- Jazyk
- Rok vydania
- 2017
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2021 2022 2023
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- Titul
- Complementation of normal subgroups
- Jazyk
- anglicky
- Autori
- Joseph Kirtland
- Vydavateľ
- De Gruyter
- Rok vydania
- 2017
- Väzba
- pevná
- ISBN10
- 311047879X
- ISBN13
- 9783110478792
- Kategórie
- Matematika
- Anotácia
- 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. Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented