Nilpotence relations in products of groups
AbstractTwo subgroups 𝐴 and 𝐵 of a group 𝐺 are said to be 𝒩-connected if, for all 𝑎 in 𝐴 and 𝑏 in 𝐵, the subgroup generated by 𝑎 and 𝑏 is a nilpotent group. In this paper, we study the structure of a group 𝐺 assuming that G=AB and 𝐴 and 𝐵 are 𝒩-connected subgroups satisfying Max or Min.
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