Listar por autoría "ab703107-0de7-4dc7-badd-82ea2f5a2b6c"
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Class sizes of prime-power orden p'-elements and normal subgroups
Springer (2014-06)We prove an extension of the renowned Itô’s theorem on groups having two class sizes in three different directions at the same time: normal subgroups, p' -elements and prime- power order elements. Let N be a normal subgroup ... -
Invariant class sizes and solvability of finite groups under coprime action
Wiley (2015)Suppose that A and G are finite groups of relatively prime orders such that A acts on G via automorphisms, and then, A acts on the set of conjugacy classes of G. We study several arithmetical properties on the sizes of ...
