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On the Finite Two-Dimensional Linear Groups II.(1)

Published online by Cambridge University Press:  20 November 2018

Peter Lorimer
Peter Lorimer*
Affiliation:
University of Auckland, Auckland, New Zealand
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Extract

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A group G is called a T3-group if it contains subgroups K and H, HΔK, with the property that if g and gb are members of G—K there is exactly one h∊H which satisfies the equation gh=gb. In these circumstances (G, K, H) is called a T3-triple.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 4 , December 1972 , pp. 539 - 546
Copyright
Copyright © Canadian Mathematical Society 1972

Footnotes

(1)

This paper was written while the author was a visiting Associate Professor at the University of Victoria, B.C.

References

1. Lorimer, Peter, On the finite two dimensional linear groups, J. Algebra 10 (1968), 419-435.Google Scholar
2. Zassenhaus, H., Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen, Abh. Math. Sem. Univ. Hamburg 2 (1936), 17-40.Google Scholar