Hypocritical and sincere groups

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1974Publisher:Springer Berlin Heidelberg

Authors: L. F. Harris;

doi: 10.1007/bfb0065184 , 10.1007/978-3-662-21571-5_30

Hypocritical and sincere groups

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Abstract

A group G is defined to be hypocritical if, whenever G is in a locally finite variety V of groups and G is a section closed class of groups which generates V, then G ∈ G. The critical groups which for some prime p are an extension of an abelian p-group by a p′-group are considered from the standpoint of hypocriticality.

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