Proof of some properties of transfer using noncommutative determinants

TL;DR

This paper explores properties of group transfers using noncommutative determinants, providing a more natural understanding of transfer functions in group theory.

Contribution

It introduces a novel approach to analyzing transfer properties through noncommutative determinants, enhancing conceptual clarity.

Findings

Transfer properties are explained via noncommutative determinants.

The approach offers a more natural understanding of transfers.

New insights into the structure of transfer functions.

Abstract

A transfer is a group homomorphism from a finite group to an abelian quotient group of a subgroup of the group. In this paper, we explain some of the properties of transfers by using noncommutative determinants. These properties enable us to understand transfers more naturally.