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Presentations of some classical groups

Published online by Cambridge University Press:  17 April 2009

M.J. Wicks
M.J. Wicks
Affiliation:
Department of Mathematics, University of Singapore, Singapore.
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Abstract

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The groups considered are Λ = GL(2, Z), π = SL(2, Z) and Θ = PSL(2, Z). A presentation of Λ is obtained for which the word problem can be solved by a simple intrinsic algorithm. The presentation is modified to display other features of Λ, and to obtain related presentations of Λ and Θ. There is an algorithm which solves the conjugacy problem of Λ.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 1 , August 1975 , pp. 1 - 12
Copyright
Copyright © Australian Mathematical Society 1975

References

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