Listar por autoría "50f95af3-a8ca-4b55-be70-970f7c5fb7a5"
Mostrando ítems 1-14 de 14
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A coprime action version of a solubility criterion of Deskins
Springer Verlag (2019)Let A and G be finite groups of relatively prime orders and suppose that A acts on G via automorphisms. We demonstrate that if G has a maximal A-invariant subgroup M that is nilpotent and the Sylow 2-subgroup of M has ... -
Arithmetical Conditions on Invariant Sylow Numbers
Springer Verlag (2018)Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. A natural number n is said to be an A-invariant Sylow number if n is the number of A-invariant Sylow p-subgroups of G for some prime ... -
c-Normality and coprime action in finite groups
Springer (2023-10-31)A subgroup H of a finite group G is called c-normal if there exists a normal subgroup N in G such that G = HN and , the largest normal subgroup of G contained in H. c-Normality is a weaker form of normality, introduced by ...
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Conditions for Sylow 2-subgroups of the Fixed Point Subgroup Implying Solubility
Cambridge University Press (2018)Let A and G be finite groups and suppose that A acts via automorphisms on G with (|A|, |G|) = 1. We study how certain conditions on the Sylow 2-subgroups of the fixed point subgroup of the action, CG(A), may imply the ...
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Coprime action and arithmetical conditions on invariant conjugacy classes
Springer Verlag (2015-12)Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We show that if 4 divides no A-invariant conjugacy class size of G, then G is solvable. We also characterize the A-invariant structure ...
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Corrigendum to: “A coprime action version of a solubility criterion of Deskins”
Springer Verlag (2020-01-14)In this Corrigendum we correct a missed case in the statement of Theorem 2.4 and a subsequent mistake in the proof of the main result in “A coprime action version of a solubility criterion of Deskins”, Monatsh. Math. ...
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Indices of Maximal Invariant Subgroups and Solvability of Finite Groups
Springer Verlag (2019)Let A and G be finite groups and suppose that A acts coprimely on G via automorphisms. We study the solvability and supersolvability of G when certain proper maximal A-invariant subgroups of G have prime index or when ...
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Invariant TI-subgroups and structure of finite groups
Elsevier (2020-09-07)Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. Recall that a subgroup H of G is said to be a TI-subgroup if it has trivial intersection with its ...
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New Conditions on Maximal Invariant Subgroups That Imply Solubility
Springer (2023)Let G be a finite group and assume that a finite group of automorphisms A acts on G, such that the orders of A and G are relatively prime. We prove that the fact of imposing certain conditions on the set of maximal A-invariant ...
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On the number of invariant Sylow subgroups under coprime action
Elsevier (2017-07)Let A and G be finite groups such that A acts coprimely on G via automorphisms. We study the number of A-invariant Sylow p-subgroups of G, say V a/p (G), for every prime p, and establish several arithmetical properties and ...
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Orbits of maximal invariant subgroups and solvability of finite groups
Elsevier (2019-08-13)Let A and G be finite groups having coprime orders and suppose that A acts on G via automorphisms. We give some solvability criteria for G according to the number of orbits that appear by the action of the fixed point ...
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p-divisibility of conjugacy class sizes and normal p-complements
De Gruyter (2015-01)Let N be a normal subgroup of a group G and let p be a prime.We prove that if the p-part of jxGj is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement.
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Restrictions on maximal invariant subgroups implying solvability of finite groups
Springer Verlag (2018)Suppose that G and A are finite groups such that A acts coprimely on G via automorphisms. It is interesting to investigate the structure and properties of G when we impose some restrictions on its maximal A-invariant ...
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Second Maximal Invariant Subgroups and Solubility of Finite Groups
Springer (2022-11-22)Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. We prove that the fact of imposing specific properties on the second maximal A-invariant subgroups ...
