Probabilistic Generation of Finite Simple Groups
نویسندگان
چکیده
منابع مشابه
Probabilistic generation of finite simple groups, II
In earlier work it was shown that each nonabelian finite simple group G has a conjugacy class C such that, whenever 1 = x ∈G, the probability is greater than 1/10 that G= 〈x, y〉 for a random y ∈ C. Much stronger asymptotic results were also proved. Here we show that, allowing equality, the bound 1/10 can be replaced by 13/42; and, excluding an explicitly listed set of simple groups, the bound 2...
متن کاملGAP Computations Concerning Probabilistic Generation of Finite Simple Groups
This is a collection of examples showing how the GAP system [GAP12] can be used to compute information about the probabilistic generation of finite almost simple groups. It includes all examples that were needed for the computational results in [BGK08]. The purpose of this writeup is twofold. On the one hand, the computations are documented this way. On the other hand, the GAP code shown for th...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2000
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8357