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

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.

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

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

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On \CYRSH\CYRSH-rigidity of groups of order p6p6

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On \CYRSH\CYRSH-rigidity of groups of order p6p6

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

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

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