On finite groups satisfying the permutizer condition

[摘要] 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. (C) 1997 Academic Press.

[发布日期] 1997-05-15