پديدآورندگان :
Jafarian Amiri Seyyed Majid sm_jafarian@znu.ac.ir Department of Mathematics, Faculty of Sciences, University of Zanjan, P.O.Box 45371-38791, Zanjan, Iran , Haji Saeid haji_saeid@znu.ac.ir Department of Mathematics, Faculty of Sciences, University of Zanjan, P.O.Box 45371-38791, Zanjan, Iran , Rostami Hojjat h.rostami5991@gmail.com Department of Mathematics, Faculty of Sciences, University of Zanjan, P.O.Box 45371-38791, Zanjan, Iran
كليدواژه :
p , group , extra , special , centralizer.
چكيده فارسي :
For a finite group K, let Cent(K) denote the set of centralizers of single elements of K. Let
G be the extra-special group of order p^(2n+1) where p is a prime and n ≥ 1. Here we obtain
│Cent(G)│ and as an application we show that │Cent(H)│ ≤ │Cent(G)│ for all groups H of order
p^(2n+1). Also we give some information about groups having maximum number of centralizers
among all groups of order p^(2n+1).
