Product Replacement in the Monster
Holmes, Petra E. ; Linton, Stephen A. ; Murray, Scott H.
Experiment. Math., Tome 12 (2003) no. 1, p. 123-126 / Harvested from Project Euclid
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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.
Publié le : 2003-05-14
Classification:  Monster group,  randomised algorithms,  20-04,  20D08 
@article{1064858789,
     author = {Holmes, Petra E. and Linton, Stephen A. and Murray, Scott H.},
     title = {Product Replacement in the Monster},
     journal = {Experiment. Math.},
     volume = {12},
     number = {1},
     year = {2003},
     pages = { 123-126},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1064858789}
}

Holmes, Petra E.; Linton, Stephen A.; Murray, Scott H. Product Replacement in the Monster. Experiment. Math., Tome 12 (2003) no. 1, pp.  123-126. http://gdmltest.u-ga.fr/item/1064858789/