By Raimundo Bastos and others

Let \(G\) and \(H\) be groups that act compatibly on each other. We denote by \([G,H]\) the derivative subgroup of \(G\) under \(H\). We prove that if the set \(\{g^{-1}g^h \mid g \in G, h \in H\}\) has \(m\) elements, then the derivative \([G,H]\) is finite with \(m\)-bounded order. Moreover,... Show more

December 11, 2018

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