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A counting formula about the symplectic similitude group

Published online by Cambridge University Press:  17 April 2009

Kwankyu Lee
Kwankyu Lee
Affiliation:
Department of Mathematics, Sogang University, Seoul 121–742, Korea, e-mail: leekk@math.sogang.ac.kr
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Abstract

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We derive an explicit formula for the number of elements in the symplectic similitude group GSp(2n, q) with given trace and determinant.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 1 , February 2001 , pp. 15 - 20
Copyright
Copyright © Australian Mathematical Society 2001

References

[1]Kim, D. S., ‘Exponential sums for symplectic groups and their applications’, Acta Arith. 88 (1999), 155–171.CrossRefGoogle Scholar
[2]Kim, D. S., ‘Gauss sums for symplectic groups over a finite field’, Monatsh. Math. 126 (1998), 55–71.CrossRefGoogle Scholar