Listar por tema "solvable groups"
Mostrando ítems 1-2 de 2
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ItÔ's Theorem on Groups with two class sizes revisited
Australian Mathematical Publishing Association (2012-06)LetG be a finite p-solvable group. We prove that ifG has exactly two conjugacy class sizes of p 0 -elements of prime power order, say 1 and m, then m = p aq b , for two distinct primes p and q, and G either has ... -
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 ...
