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Two group isomorphisms and a little projective geometry

Published online by Cambridge University Press:  22 September 2016

T.P. McDonough
T.P. McDonough*
Affiliation:
Dept. of Pure Mathematics, The University College of Wales, Aberystwyth, Dyfed SY23 3BZ
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Extract

Among the first examples of groups encountered in group theory are the symmetric and alternating groups and the general linear groups. The purpose of this article is to describe these groups and to describe two unusual functions between groups of this type, in a language which can be understood by those with only an elementary knowledge of group theory and no knowledge of linear algebra or projective geometry.

Type
Research Article
Information
The Mathematical Gazette , Volume 64 , Issue 430 , December 1980 , pp. 245 - 254
Copyright
Copyright © Mathematical Association 1980

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References

Further reading

Adler, I., A new look at geometry, Dennis Dobson (1966).Google Scholar
Carmichael, R. D., Groups of finite order, Dover (1956).Google Scholar
Green, J. A., Sets and groups, Routledge and Kegan Paul (1965).Google Scholar
Ledermann, W., The theory of finite groups, Oliver and Boyd (1961).Google Scholar
Rainich, G. Y. and Dowdy, S. M., Geometry for teachers, Wiley (1968).Google Scholar
Seidenberg, A., Projective geometry, Van Nostrand (1962).Google Scholar
Veblen, O. and Young, J. W., Projective geometry I, Ginn (1910).Google Scholar