Some results on exterior n-auto Bell groups
The concept of non-abelian tensor product in algebraic k-theory, algebraic topology, and homotopy theory has its roots. Later in group theory, this concept gained attention. In this article, we introduce the concept of non-abelian exterior product, which has a weaker structure compared to the non-abelian tensor product. Additionally, by introducing exterior n-auto Bell groups, exterior n-auto Levi groups, and exterior n-auto Kappe groups, we prove some properties of these groups. Among them, we prove that if G is an exterior n-auto Bell group, then G/L^_3(G) has a finite exponent dividing 2n(n-1).
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