Finite groups having centralizer commutator product property
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol.64, no.3, pp.341-346, 2015 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 64 Issue: 3
- Publication Date: 2015
- Doi Number: 10.1007/s12215-015-0192-z
- Journal Name: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.341-346
- Middle East Technical University Affiliated: Yes
Abstract
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.