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6.26 (1978)

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Let $D$ be a normal set of involutions in a finite group $G$ and let $\Gamma(D)$ be the graph with vertex set $D$ and edge set $\{(a, b) \mid a, b \in D, \ ab = ba \neq 1\}$. Describe the finite groups $G$ with non-connected graph $\Gamma(D)$.

Contributor: A. A. Makhnëv

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