6533b7d1fe1ef96bd125c393

RESEARCH PRODUCT

On periodic radical groups in which permutability is a transitive relation

Adolfo Ballester-bolinchesLeonid A. KurdachenkoTatiana Pedraza

subject

CombinatoricsSet (abstract data type)Class (set theory)Transitive relationAlgebra and Number TheoryGroup (mathematics)Mathematics

description

Abstract A group G is said to be a PT - group if permutability is a transitive relation in the set of all subgroups of G . Our purpose in this paper is to study PT -groups in the class of periodic radical groups satisfying min- p for all primes p .

10.1016/j.jpaa.2006.11.006http://dx.doi.org/10.1016/j.jpaa.2006.11.006