simple group of Lie type of rank 1;
sporadic finite simple group;
symmetric group;
alternating group;
generating function;
D O I:
10.1142/S1005386705000647
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we study the probability that a randomly chosen element in a finite group has a square root, in particular the simple groups of Lie type of rank 1, the sporadic finite simple groups and the alternating groups.
机构:
Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel
Herzog, M
Longobardi, P
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机构:Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel
Longobardi, P
Maj, M
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机构:Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel