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Groups of linear transformations

Published online by Cambridge University Press:  22 September 2016

R. P. Burn
R. P. Burn*
Affiliation:
Homerton College, Cambridge CB2 2PH
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Extract

“Groups are important because they arise from structures as systems of automorphisms of those structures . . . Group tables and group diagrams are devices to make groups explicit or to visualise them, but they are utterly inefficient tools to introduce groups or to prove that some system is a group ... Are there valid arguments to teach a school group theory, different from the genuine one? I would doubt it.” H. FREUDENTHAL: Address to the ICME congress at Exeter, 1972, on What groups mean in mathematics, and what they should mean in mathematical education.

Type
Research Article
Information
The Mathematical Gazette , Volume 61 , Issue 418 , December 1977 , pp. 273 - 279
Copyright
Copyright © Mathematical Association 1977

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References

Dickson, L. E., Linear groups. First published 1901, recently republished by Dover.Google Scholar
van der Waerden, B. L., Gruppen von linearen Transformationen. First published 1935, reprinted 1948 by Chelsea.CrossRefGoogle Scholar
Dieudonné, J., Sur les groupes classiques. First published 1944 by Hermann, 3rd edition 1967.Google Scholar
Dieudonné, J., La géometrie des groupes classiques. Springer 1954,1962.Google Scholar