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- W2590321745 abstract "Abstract A subgroup H of a group G is called Sylow permutable , or S-permutable, in G if H permutes with all Sylow p -subgroups of G for all primes p . A group G is said to be a PST- group if Sylow permutability is a transitive relation in G . We show that a group G which is factorised by a normal subgroup and a subnormal PST-subgroup of odd order is supersoluble. As a consequence, the normal closure <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msup> <m:mi>S</m:mi> <m:mi>G</m:mi> </m:msup> </m:math> {S^{G}} of a subnormal PST-subgroup S of odd order of a group G is supersoluble, and the subgroup generated by subnormal PST-subgroups of G of odd order is supersoluble as well." @default.
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- W2590321745 date "2017-02-21" @default.
- W2590321745 modified "2023-09-24" @default.
- W2590321745 title "On Sylow permutable subgroups of finite groups" @default.
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- W2590321745 doi "https://doi.org/10.1515/forum-2016-0262" @default.
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