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- W3142973449 abstract "In recent years,a series of papers about cover-avoiding property of subgroups appeared and all the studies were connected with chief factors of a finite group.However,about the cover-avoiding property of subgroups for non-chief factor,there is no study up to now.The purpose of this paper is to build the theory.Let A be a subgroup of a finite group G and Σ:G0≤G1≤…≤Gn some subgroup series of G.Suppose that for each pair(K,H) such that K is a maximal subgroup of H and G i 1 K H G i for some i,either A ∩ H = A ∩ K or AH = AK.Then we say that A is Σ-embedded in G.In this paper,we study the finite groups with given systems of Σ-embedded subgroups.The basic properties of Σ-embedded subgroups are established and some new characterizations of some classes of finite groups are given and some known results are generalized." @default.
- W3142973449 created "2021-04-13" @default.
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- W3142973449 date "2011-01-01" @default.
- W3142973449 modified "2023-09-25" @default.
- W3142973449 title "Finite groups with systems of Σ-embedded subgroups" @default.
- W3142973449 hasPublicationYear "2011" @default.
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