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

Z. Araghi Rostami; M. Parvizi; P. Niroomand

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

Group Theory 2023-03-13 v1

Authors: Z. Araghi Rostami , M. Parvizi , P. Niroomand

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.

Keywords

finite groups subgroup theorem bogomolov multiplier outer commutator word group variety tilde b0 invariant

Cite

@article{arxiv.2303.05765,
  title  = {Subgroup Theorems for the $\tilde{B_0}$-invariant of groups},
  author = {Z. Araghi Rostami and M. Parvizi and P. Niroomand},
  journal= {arXiv preprint arXiv:2303.05765},
  year   = {2023}
}

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

Abstract

Keywords

Cite

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