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

Source: [On $\\CYRSH$-rigidity of groups of order $p^6$](<https://www.sota2.com/research/paper/68fa518a1e209131ce974821>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T11:27:20.709Z

Authors: Pradeep K. Rai, Manoj K. Yadav

Published: 2014-12-02T12:23:08.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1412.0884>)

[PDF](<https://arxiv.org/pdf/1412.0884.pdf>)