Abstract
A subgroup A of a finite group G is said to permute with a subgroup B if \(AB=BA\). If A permutes with all Sylow subgroups of G, then A is called S-permutable in G. We characterize finite groups with modular and distributive lattice of S-permutable subgroups.
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Skiba, A.N. On finite groups for which the lattice of S-permutable subgroups is distributive. Arch. Math. 109, 9–17 (2017). https://doi.org/10.1007/s00013-017-1051-2
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DOI: https://doi.org/10.1007/s00013-017-1051-2