Finite groups having centralizer commutator product property

2015-12-01
Let a be an automorphism of a finite group G and assume that G = {[g, alpha] : g is an element of G} . C-G(alpha). We prove that the order of the subgroup [G, alpha] is bounded above by n(log2(n+1)) where n is the index of C-G(alpha) in G.

Citation Formats
G. Ercan, “Finite groups having centralizer commutator product property,” RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol. 64, no. 3, pp. 341–346, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35196.