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FINITE GROUPS ALL OF WHOSE SECOND MAXIMAL SUBGROUPS ARE -GROUPS

XIANGGUI ZHONG

Department of Mathematics, Guangxi Normal University, Guilin 541004, P. R. China

https://doi.org/10.1142/S0129167X13500274Cited by:0 (Source: Crossref)

Abstract

Let G be a finite group. A subgroup H of G is called weakly normal in G if H^g ≤ N_G(H) implies g ∈ N_G(H) for all g ∈ G. A finite group G is called an -group if all cyclic subgroups of G of order prime or 4 are weakly normal in G. In this paper, the structure of finite groups all of whose second maximal subgroups satisfy -property has been characterized.

Keywords:

AMSC: 20D10, 20D25

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