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on finite groups in which ss-semi-permutability is a transitive relation
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نویسنده
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mirdamadi sayed ebrahim ,rezaeezadeh gholamreza
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منبع
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journal of algebraic systems - 2016 - دوره : 4 - شماره : 1 - صفحه:29 -36
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چکیده
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Abstract. let h be a subgroup of a nite group g. we saythat h is ss-semipermutable in g if h has a supplement k in gsuch that h permutes with every sylow subgroup x of k with(jxj; jhj) = 1. in this paper, the structure of ss-semipermutablesubgroups and the nite groups in which ss-semi-permutability isa transitive relation are described. it is shown that a nite solvablegroup g is a pst-group if and only if whenever h k are twop-subgroups of g, h is ss-semipermutable in ng(k).
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کلیدواژه
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ss-semipermutable subgroups ,s-semipermutable subgroups ,pst-groups
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آدرس
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department of mathematics, university of shahrekord, p.o.box 115, shahrekord, iran., ایران, department of mathematics, university of shahrekord, p.o.box 115, shahrekord, iran., ایران
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Authors
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