The Bogomolov multiplier of groups of order $p^7$ and exponent $p$

TL;DR

This paper computes the Bogomolov multiplier for specific p-groups of order p^7 and exponent p, providing new insights into their algebraic structure.

Contribution

It explicitly determines the Bogomolov multiplier for p-groups of order p^7 and exponent p, a previously uncharacterized class of groups.

Findings

Explicit formulas for the Bogomolov multiplier of these groups

Identification of structural properties influencing the multiplier

Extension of known results to larger p-groups

Abstract

In this paper, the Bogomolov multiplier of $p$-groups of order $p^7$ ($p>2$) and exponent $p$ is given.