Simple groups of order less than one million
نویسندگان
چکیده
منابع مشابه
On 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...
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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متن کاملA Simple Classification of Finite Groups of Order p2q2
Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p^2q^2 when Q and P are cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p^2+3p/2+7 groups when Q is an elementary ablian group an...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1972
ISSN: 0021-8693
DOI: 10.1016/0021-8693(72)90090-7