2026-01-022026-01-022025BASTOS, Raimundo et al. On generating properties of the weak commutativity of -groups, odd. Georgian Mathematical Journal, Berlin, v. 32, n. 5, p. 779–787, 2025. Disponível em: https://www.degruyterbrill.com/document/doi/10.1515/gmj-2025-2016/html. Acesso em: 12 dez. 20251072-947Xe- 1572-9176https://repositorio.bc.ufg.br//handle/ri/29313In the present paper, we examine the generating properties of Sidki’s weak commutativity group. More precisely, if G and G φ are two isomorphic groups, the weak commutativity group χ(G) is the group generated by G and G φ subject to the relations[g, g φ ] = 1 for all g ∈ G. Here we provide bounds for the number of generators of some subgroups of χ(G) when G is a p-group of odd order and either G is powerful or D(G) is abelian.engAcesso Abertohttp://creativecommons.org/licenses/by-nc-nd/4.0/Metabelian groupsExtra-special p-groupsWeak commutativityPowerful p-groupsArtigo