p -Soluble Hypercenter and p -Soluble Groups
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DOI: 10.1142/s1005386725000203
Abstract: Let [Formula: see text] be a subgroup of a finite group [Formula: see text] and [Formula: see text] be a prime. We say [Formula: see text] is [Formula: see text]-[Formula: see text]-normal in [Formula: see… read more here.
Keywords: see text; soluble groups; soluble hypercenter; formula see ... See more keywords
Automorphisms of Finite Order of Soluble Groups of Finite Rank
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DOI: 10.1556/012.2021.58.1.1486
Abstract: We study the effect on sections of a soluble-by-finite group G of finite rank of an almost fixed-point-free automorphism φ of G of finite order. We also elucidate the structure of G if φ has… read more here.
Keywords: order; soluble groups; automorphisms finite; finite order ... See more keywords
On σ-Residuals of Subgroups of Finite Soluble Groups
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DOI: 10.3390/math11102343
Abstract: Let σ={σi:i∈I} be a partition of the set of all prime numbers. A subgroup H of a finite group G is said to be σ-subnormal in G if H can be joined to G by… read more here.
Keywords: finite soluble; subgroup; subgroups finite; soluble groups ... See more keywords