Normal complements and the number two

McIntosh, Heather (2007) Normal complements and the number two. Masters thesis, Memorial University of Newfoundland.

[img] [English] PDF - Accepted Version
Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.

Download (1629Kb)

Abstract

As a means to solving the isomorphism problem many mathematicians have studied the unit group of a group ring. The group G is contained in the group of units. Thus it is beneficial to find out how the group G sits in the unit group. One question that can be asked is: When does G have a normal complement in the unit group of a group ring? In this thesis we will investigate that question by looking at the unit groups of group rings of the form F₂G where G is a group of small order. We will also look at results from two papers by Robert Sandling ([San84b, San89]). In these papers Sandling shows that for modular group algebras of central-elementary-by-abelian p-groups G has a normal complement in the unit group.

Item Type: Thesis (Masters)
URI: http://research.library.mun.ca/id/eprint/11017
Item ID: 11017
Additional Information: Includes bibliographical references (leaves 51-52).
Department(s): Science, Faculty of > Mathematics and Statistics
Date: 2007
Date Type: Submission
Library of Congress Subject Heading: Abelian p-groups; Isomorphisms (Mathematics); Unit groups (Ring theory)

Actions (login required)

View Item View Item

Downloads

Downloads per month over the past year

View more statistics