Large characteristic subgroups with modular subgroup lattice
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DOI: 10.1007/s00013-018-1190-0
Abstract: It is known that if a group contains an abelian subgroup of finite index, then it also has an abelian characteristic subgroup of finite index. The aim of this paper is to prove that corresponding… read more here.
Keywords: subgroup; modular subgroup; large characteristic; subgroup lattice ... See more keywords
Finite Groups Whose n-Maximal Subgroups Are Modular
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DOI: 10.1134/s0037446618030187
Abstract: Let G be a finite group. If Mn< Mn−1< · · · < M1< M0 = G with Mi a maximal subgroup of Mi−1 for all i = 1,..., n, then Mn (n > 0)… read more here.
Keywords: finite groups; subgroup; maximal subgroups; whose maximal ... See more keywords