On finite minimal non-nilpotent groups-Reference-Cited by-同舟云学术

On finite minimal non-nilpotent groups

Published:2005-06-08 Issue:12 Volume:133 Page:3455-3462
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ballester-Bolinches A.,Esteban-Romero R.,Robinson Derek

Abstract

A critical group for a class of groups X \mathfrak {X} is a minimal non- X \mathfrak {X} -group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol’fand’s theorem on maximal Schmidt groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-12/S0002-9939-05-07996-7/S0002-9939-05-07996-7.pdf

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