A note on Sylow permutable subgroups of infinite groups

作者：Ballester Bolinches A^*; Camp Mora S; Kurdachenko L A

来源：Journal of Algebra, 2014, 398: 156-161.

DOI：10.1016/j.jalgebra.2013.08.042

• Locally finite group
• Hyperfinite group
• Sylow permutability
• Ascendant subgroup

A subgroup A of a periodic group G is said to be Sylow permutable, or S-permutable, subgroup of G if AP = PA for all Sylow subgroups P of G. The aim of this paper is to establish the local nilpotency of the section A(G)/Core(G)(A) for an S-permutable subgroup A of a locally finite group G.

• 出版日期2014-1-15