Nice Efficient Presentions for all Small Simple Groups and their Covers
نویسندگان
چکیده
منابع مشابه
Nice Efficient Presentations for All Small Simple Groups and Their Covers
Prior to this paper all small simple groups were known to be efficient but the status of four of their covering groups was unknown. We produce nice efficient presentations for all of these groups, resolving the previously unknown cases. We give presentations that are better than available before in terms of length and in terms of computational properties. In many cases our presentations have mi...
متن کاملOn the Efficiency of the Simple Groups of Order Less Than a Million and Their Covers
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 un...
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متن کاملall simple groups with order from 1 million to 5 million are efficient
there is much interest in finding short presentations for the finite simple groups. indeed it has been suggested that all these groups are efficient in a technical sense. in previous papers we produced nice efficient presentations for all except one of the simple groups with order less than one million. here we show that all simple groups with order between $1$ million and $5$ ...
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ژورنال
عنوان ژورنال: LMS Journal of Computation and Mathematics
سال: 2004
ISSN: 1461-1570
DOI: 10.1112/s1461157000001121