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Automotives

Published online by Cambridge University Press:  05 July 2011

By
Marian Deaconescu  and
Gary Walls
Edited by
C. M. Campbell ,
M. R. Quick ,
E. F. Robertson ,
C. M. Roney-Dougal ,
G. C. Smith  and
G. Traustason
Marian Deaconescu
Affiliation:
Kuwait University, Kuwait
Gary Walls
Affiliation:
Southeastern Louisiana University, USA
C. M. Campbell
Affiliation:
University of St Andrews, Scotland
M. R. Quick
Affiliation:
University of St Andrews, Scotland
E. F. Robertson
Affiliation:
University of St Andrews, Scotland
C. M. Roney-Dougal
Affiliation:
University of St Andrews, Scotland
G. C. Smith
Affiliation:
University of Bath
G. Traustason
Affiliation:
University of Bath
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Summary

Abstract

This paper is an eclectic collection of results of the authors. The results come from “in some sense” basic, perhaps even simple, ideas covering a variety of topics. Many of these topics are related to classic results, but others simply reflect things that were of interest to the authors.

Introduction

This is an account of some of the work done by the authors, work which falls (mostly) under the section 20D45 of the 2000 Mathematics Subject Classification. The topics are eclectic, there is no apparent connection between these “motives”, but a common trait is that the notions involved are “elementary”, or “basic,” or any other adjective suggesting simplicity.

A number of topics are related to classic results, many of which do appear in popular group theory texts. As Hardy said, “debunking” is a large part of the activity of a mathematician: trying to find simpler explanations for known results could be rewarding indeed.

Some of the themes we discuss here were visited and revisited before and we have included our results among many others for the sake of giving a larger picture. However, our approach is anything but exhaustive.

Notation and Terminology

The letter G always denotes a group. If “G is finite” is not specified, it is understood that the finiteness condition is lifted.

Type
Chapter
Information
Groups St Andrews 2009 in Bath , pp. 228 - 243
Publisher: Cambridge University Press
Print publication year: 2011

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