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On the Efficiency of the Simple Groups of Order Less Than a Million and Their Covers
2007
Experimental Mathematics
There is much interest in finding short presentations for the finite simple groups. In a previous paper we produced nice efficient presentations for all small simple groups and for their covering groups. Here we extend those results from simple group order less than 100,000 up to order one million, but we leave one simple group and one covering group for which the efficiency question remains unresolved. We give presentations that are better than available before, in terms of length and in terms
doi:10.1080/10586458.2007.10129006
fatcat:l43stkh2gjhfrfwms3tofcqc7a