Listar por tema "maximal subgroups"
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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 ... -
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 ... -
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 ...