✦ LIBER ✦

On Finite Groups Satisfying the Permutizer Condition

✍ Scribed by James C. Beidleman; Derek J.S. Robinson

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 231 KB
Volume: 191
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6932

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✦ Synopsis

A group G satisfies the permutizer condition P if each proper subgroup H of G permutes with some cyclic subgroup not contained in H. The structure of finite groups with P is studied, the main result being that such groups are soluble with chief factors of order 4 or a prime. The classification of finite simple groups is used, as is detailed information about maximal factorizations of almost simple groups.

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