Visualitza MAT_Articles per paraule clau "group action on groups"
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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 ... -
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 ... -
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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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 ...
