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

Pradeep K. Rai; Manoj K. Yadav

doi:10.1016/j.jalgebra.2015.01.005

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

Group Theory 2015-02-12 v1

Authors: Pradeep K. Rai , Manoj K. Yadav

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Abstract

Let $G$ be a group and $Out_c(G)$ be the group of its class-preserving outer automorphisms. We compute $|Out_c(G)|$ 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.

Keywords

class-preserving outer automorphisms bogomolov multiplier sh-rigidity finite groups group order p^6

Cite

@article{arxiv.1412.0884,
  title  = {On $\CYRSH$-rigidity of groups of order $p^6$},
  author = {Pradeep K. Rai and Manoj K. Yadav},
  journal= {arXiv preprint arXiv:1412.0884},
  year   = {2015}
}

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12 pages

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