ListarMAT_Articles por tema "invariant subgroups"
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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 ... -
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 ... -
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 ...