Listar MAT_Articles por autoría "09263b23-4ed4-4d61-95ef-8924f684d468"
Mostrando ítems 1-3 de 3
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Finite groups with two p-regular conjugacy class lengths II
Australian Mathematical Publishing Association (2009)Let G be a finite group. We prove that if the set of p-regular conjugacy class sizes of G has exactly two elements, then G has Abelian p-complement or G=PQ×A, with P∈Sylp(G), Q∈Sylq(G) and A Abelian. -
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 ...
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Nilpotency of normal subgroups having two G-class sizes
American Mathematical Society (2010-12-22)Let G be a finite group. If N is a normal subgroup which has exactly two G-conjugacy class sizes, then N is nilpotent. In particular, we show that N is abelian or is the product of a p-group P by a central subgroup of G. ...
