a probabilistic version of a theorem of lászló kovács and hyo-seob sim
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نویسنده
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lucchini andrea ,moscatiello mariapia
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منبع
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international journal of group theory - 2020 - دوره : 9 - شماره : 1 - صفحه:1 -6
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چکیده
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For a finite group group, denote by v(g) the smallest positive integer k with the property that the probability of generating g by k randomly chosen elements is at least 1/e. let g be a finite soluble group. assume that for every p ∈ π(g) there exists gp ≤ g such that p does not divide |g : gp| and v(gp) ≤ d. then v(g) ≤ d + 7.
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کلیدواژه
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finite soluble groups; generation of finite groups
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آدرس
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dipartimento di matematica tullio levi-civita, italy, dipartimento di matematica tullio levi-civita, italy
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پست الکترونیکی
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mariapia.moscatiello@math.unipd.it
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