Let $G$ be finite p-group and $\sigma \in Aut(G)$ (automorphism group).
what does below symbols mean
1. $[G,\sigma]$ (commutator)
2. $C_G(\sigma)$ (centralizer)
2026-04-30 06:01:16.1777528876
two definition in automorphism of group
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$[G,\sigma] = \langle g^{-1}\sigma(g) \mid g \in G \rangle$.
$C_G(\sigma) = \{ g \in G \mid \sigma(g)=g \}$ (which is a subgroup of $G$).