Criteria for the solubility of finite groups by their centralizers.

DOI10.1007/s00013-011-0233-6zbMath1220.20012OpenAlexW2094495001MaRDI QIDQ535136

Mohammad Zarrin

Publication date: 11 May 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0233-6

zbMATH Keywords

derived lengthsnumbers of centralizers2-Engel elementssoluble subgroups of symmetric groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Engel conditions (20F45) Subgroups of symmetric groups (20B35)

Related Items (14)

Centralizers in a group whose central factor is simple ⋮ Characterizations of some groups in terms of centralizers ⋮ On finite groups with nine centralizers ⋮ A note on the number of centralizers in finite AC-groups ⋮ On capable groups of order p2q ⋮ Finite groups in which the centralizer of every noncentral element of odd order is abelian ⋮ On finite groups with a given number of exterior centralizers ⋮ Groups with exactly ten centralizers ⋮ On 10-centralizer groups of odd order. ⋮ ON NONCOMMUTING SETS AND CENTRALISERS IN INFINITE GROUPS ⋮ Finite groups determined by the number of element centralizers ⋮ Groups with the same number of centralizers ⋮ On 9-centralizer groups ⋮ Derived length and centralizers of groups

Cites Work

• Die \(A\)-Norm einer Gruppe
• Counting Centralizers in Finite Groups
• Endliche Gruppen I

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