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2003 Product Replacement in the Monster
Petra E. Holmes, Stephen A. Linton, Scott H. Murray
Experiment. Math. 12(1): 123-126 (2003).

Abstract

We show that the product replacement algorithm can be used to produce random elements of the Monster group. These random elements are shown to have the same distribution of element orders as uniformly distributed random elements after a small number of steps.

Citation

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Petra E. Holmes. Stephen A. Linton. Scott H. Murray. "Product Replacement in the Monster." Experiment. Math. 12 (1) 123 - 126, 2003.

Information

Published: 2003
First available in Project Euclid: 29 September 2003

zbMATH: 1047.20013
MathSciNet: MR2002679

Subjects:
Primary: 20-04 , 20D08

Keywords: Monster group , randomised algorithms

Rights: Copyright © 2003 A K Peters, Ltd.

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Vol.12 • No. 1 • 2003
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