# Group presentations for a class of radical rings of matrices

## Author

**Noelle Antony**, **Clare Coleman** and **David Easdown**

## Status

Research Report 2001-13

Date: 16 November 2001

## Abstract

In this paper we assemble some facts about radical rings
which arise by sandwich multiplication using a Jacobson
radical element. We find a group presentation for the
Munn ring consisting of n times n matrices over Z_{p^k},
where p is prime, which employs a scalar sandwich matrix
where the scalar is from p Z_{p^k} , regarded as a group
with respect to the circle operation.

## Key phrases

group presentations. radical rings of matrices. sandwich multiplication.

## AMS Subject Classification (1991)

Primary: 16N20

Secondary: 16U60, 15A33, 20F05, 20H25

## Content

The paper is available in the following forms:
- TeX dvi format:
- 2001-13.dvi.gz (26kB) or
2001-13.dvi (65kB)

- PostScript:
- 2001-13.ps.gz (146kB) or
2001-13.ps (333kB)

##### To minimize network load, please choose the smaller gzipped .gz form if
and only if your browser client supports it.

Sydney Mathematics and Statistics