Title: ON GROUPS ALL OF WHOSE ELEMENTS HAVE PRIME POWER ORDER
Abstract: Groups described in the title have been characterized according to whether they are soluble or locally soluble. Using the progress achieved in finite simple groups, the remaining locally finite groups are described in this paper: infinite groups are perfect, they are extensions of 2-groups of bounded nilpotency class and exponent by a simple group; this simple group belongs to one of five isomorphism classes. Eight isomorphism classes are possible for simple groups, and only one isomorphism class of non-perfect groups exists.
Publication Year: 2006
Publication Date: 2006-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 6
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