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Patterns in Group Tables

Published online by Cambridge University Press:  03 November 2016

F. H. Francis
F. H. Francis*
Affiliation:
Holmside, Kingswinford, Staffordshire
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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

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