Criteria for permutability to be transitive in finite groups

[摘要] A group G is a PT-group, if. for subgroups H and K with H permutable in K and ii permutable in G, it is always the case that H is permutable in G. It is shown that a finite group is a soluble rr-group if and only if each subgroup of a Sylow subgroup is permutable in the Sylow normalizer. (C) 1999 Academic Press.

[发布日期] 1999-12-15