On finite groups with almost nilpotent maximal subgroups

Z. Arad; M. Herzog; A. Shaki

doi:10.1016/0021-8693(80)90232-x

On finite groups with almost nilpotent maximal subgroups

Z. Arad
, M. Herzog
, A. Shaki

Department of Mathematics

Tel Aviv University
Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Finite non-solvable groups with a maximal subgroupA satisfying the following condition are classified: A contains a nilpotent subgroupH of even order and of index| A : H | ≤ 2. This result is applied to the investigation of factorizable groups.

Original language	English
Pages (from-to)	445-452
Number of pages	8
Journal	Journal of Algebra
Volume	65
Issue number	2
DOIs	https://doi.org/10.1016/0021-8693(80)90232-x
State	Published - Aug 1980

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abstract = "Finite non-solvable groups with a maximal subgroupA satisfying the following condition are classified: A contains a nilpotent subgroupH of even order and of index| A : H | ≤ 2. This result is applied to the investigation of factorizable groups.",

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AB - Finite non-solvable groups with a maximal subgroupA satisfying the following condition are classified: A contains a nilpotent subgroupH of even order and of index| A : H | ≤ 2. This result is applied to the investigation of factorizable groups.

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On finite groups with almost nilpotent maximal subgroups

Abstract

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