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A. Ballester-Bolinches, S. Camp-Mora, L. A. Kurdachenko, and F. Spagnuolo.

On groups whose subgroups of infinite rank are Sylow permutable.

Ann. Mat. Pura Appl. (4), 195(3):717–723, 2016.

https://doi.org/10.1007/s10231-015-0485-z

Abstract

In this paper, we investigate the structure of locally finite groups of infinite section rank (respectively, special rank) whose subgroups of infinite section rank (respectively, special rank) are Sylow permutable, permutable or normal. Some earlier results for locally finite groups appear as consequences of our study.

2010 Mathematics Subject Classification: 20E15, 20F19, 20F22

Keywords: Locally finite group, Section p-rank, Section rank, Special rank, Permutable, Sylow permutable, Normal