Abstract: | An involution i of a group G is said to be perfect in G if any two non-commuting involutions in iG are conjugated by an involution in the same class. We generalize theorems of Jordan and M. Hall concerning sharply doubly
transitive groups, and the Shunkov theorem on periodic groups with a finite isolated subgroup of even order.
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Translated from Algebra i Logika, Vol. 44, No. 6, pp. 751–762, November–December, 2005. |