On Commutativity and Finiteness in Groups
نویسندگان
چکیده
The second author introduced notions of weak permutablity and commutativity between groups and proved the finiteness of a group generated by two weakly permutable finite subgroups. Two groups H, K weakly commute provided there exists a bijection f : H → K which fixes the identity and such that h commutes with its image h for all h ∈ H. The present paper gives support to conjectures about the nilpotency of groups generated by two weakly commuting finite abelian groups H, K.
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