7 citations · 13 across the 6 of their papers we have counts for
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math.GR2020★ 1 cited
Virtually nilpotent groups with finitely many orbits under automorphisms
Raimundo Bastos, Alex C. Dantas, Emerson de Melo
Let be a group. The orbits of the natural action of $\Aut(G)$ on are called "automorphism orbits" of , and the number of automorphism orbits of is denoted by .…
math.GR2020★ 3 cited
On the exponent of the Weak commutativity group
R. Bastos, E. de Melo, R. de Oliveira
The weak commutativity group is generated by two isomorphic groups and subject to the relations for all . The group is an extension o…
math.GR2020★ 2 cited
The exponent of the non-abelian tensor square and related constructions of -groups
R. Bastos, E. de Melo, N. Gonçalves +1
Let be a finite -group. In this paper we obtain bounds for the exponent of the non-abelian tensor square and of , which is a certain extension of $G \oti…