Abstract
Let π be a set of primes. A subgroup H of a finite group G is said to be π-S-permutable in G if H permutes with every Sylow q-subgroup of G for all primes q ∈ π. The main aim of this paper is to establish structural results about the normal closure of π-S-permutable subgroups and p-subgroups permuting with all p′-subgroups for a single prime p. Our results stem from a recent article by Isaacs [5] and subsequent discussions with the authors about it.
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Ballester-Bolinches, A., Li, Y., Su, N. et al. On π-S-permutable subgroups of finite groups. Mediterr. J. Math. 13, 93–99 (2016). https://doi.org/10.1007/s00009-014-0479-x
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DOI: https://doi.org/10.1007/s00009-014-0479-x