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On Commutativity and Finiteness in Groups by Oliveira, Ricardo N.; Sidki, Said N. is a scholarly article available to read on EtoBox.

What is On Commutativity and Finiteness in Groups about?

The second author introduced notions of weak permutability and commutativity between groups and proved the finiteness of a group generated by two weakly permutable finite groups. Two groups H,K weakly commute provided there exists a bijection f: H -> K which fixes the identity element and such that h commutes with its image h^f for all h in H. The present paper gives support to conjectures about the nilpotency of groups generated by two weakly commuting finite abelian groups H,K.

Author

Oliveira, Ricardo N.; Sidki, Said N.

Published

2007

Language

EN