Malaysian Journal of Mathematical Sciences, September 2016, Vol. 10, No. 3
On Primitive 11-Centralizer Groups of Odd Order
Mehdi Rezaei and Zeinab Foruzanfar
Corresponding Email: m_rezaei@bzte.ac.ir
Received date: -
Accepted date: -
Abstract:
Let $G$ be a finite group and let $\left | Cent(G) \right |$ be the number of distinct centralizers of its elements. $G$ is called $n$-centralizer if $\left | Cent(G) \right |=n$ and is called primitive $n$-centralizer if $\left | Cent(G) \right | = \left | Cent(\frac{G}{Z(G)}) \right | = n$. In this paper, we characterize all primitive 11-centralizer groups of odd order.
Keywords: Covering, $n$-centralizer group, Primitive $n$-centralizer group, Odd
Indexing
