Hostname: page-component-745bb68f8f-lrblm Total loading time: 0 Render date: 2025-01-26T01:31:14.136Z Has data issue: false hasContentIssue false
  • English
  • Français

Patterns in Group Tables

Published online by Cambridge University Press:  03 November 2016

F. H. Francis
F. H. Francis*
Affiliation:
Holmside, Kingswinford, Staffordshire
Get access Rights & Permissions [Opens in a new window]

Extract

When teaching elementary group theory, the ideas of coset, normal subgroup and quotient group are difficult to introduce.

A possible approach is to make use of the patterns which appear on the multiplication of a group.

It is easy to pick out from the multiplication table of a group the elements which form a subgroup. All that is needed is to find a set of elements which is closed under the operation.

In the group of Table 1, clearly {I, C} form a subgroup.

Type
Research Article
Information
The Mathematical Gazette , Volume 52 , Issue 382 , December 1968 , pp. 354 - 358
Copyright
Copyright © Mathematical Association 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)