On $\CYRSH$-rigidity of groups of order $p^6$

Pradeep K. Rai; Manoj K. Yadav

doi:10.1016/j.jalgebra.2015.01.005

paper

On $\CYRSH$-rigidity of groups of order $p^{6}$

arXiv:1412.0884 · doi:10.1016/j.jalgebra.2015.01.005

Abstract

Let $G$ be a group and $O u t_{c} (G)$ be the group of its class-preserving outer automorphisms. We compute $∣ O u t_{c} (G) ∣$ for all the group $G$ of order $p^{6}$ , where $p$ is an odd prime. As an application, we observe that if $G$ is a $\CYRSH$-rigid group of order $p^{6}$ , then it's Bogomolov multiplier $B_{0} (G)$ is zero.

12 pages

Cited by in corpus (1)

Bogomolov multipliers of some groups of order $p^{6}$

On $\CYRSH$-rigidity of groups of order p6

Abstract

Cited by in corpus (1)

On $\CYRSH$-rigidity of groups of order $p^{6}$