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Some Explicit Generators for SL(3, 3n), SU(3, 3n), Sp(4,3n) and SL(4, 3n)

Published online by Cambridge University Press:  20 November 2018

C. Y. Ho
C. Y. Ho*
Affiliation:
Universidade de Brasilia, Brasilia, Brasil
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This is a generalization of the results in [3, § 5]. Some of the proofs presented here are actually the original proofs presented in [3]. Although we can find alternate proofs in the case p = 3, since [3] will not be published for a while yet, we feel that it is worthwhile to present the proof in [3] whenever it carries over in the case p = 3. The results in this paper will be used in the investigation of the quadratic pairs for the prime 3.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 5 , 01 October 1975 , pp. 970 - 979
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Bloom, D. M., The subgroups of PSL,(q) for odd q, Trans. Amer. Math. Soc. 127 (1967), 150–178.Google Scholar
2. Gorenstein, D., Finite groups (Harper and Row, New York, 1968).Google Scholar
3. Thompson, J. G., Quadratic pairs (to appear).Google Scholar