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arXiv · 2303.05765

Subgroup Theorems for the $\tilde{B_0}$-invariant of groups

Z. Araghi Rostami·M. Parvizi·P. Niroomand
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Abstract

U. Jezernik and P. Moravec have shown that if $G$ is a finite group with a subgroup $H$ of index $n$, then nth power of the Bogomolov multiplier of $G$, $\tilde{B_0}(G)^n$ is isomorphic to a subgroup of $\tilde{B_0}(H)$. In this paper we want to prove a similar result for the center by center by $w$ variety of groups, where $w$ is any outer commutator word.

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Z. Araghi Rostami, M. Parvizi, P. Niroomand. 2023-03-10. Subgroup Theorems for the $\tilde{B_0}$-invariant of groups. https://arxiv.org/abs/2303.05765

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