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- W2248085652 abstract "A subset ${g_1, ldots , g_d}$ of a finite group $G$ invariably generates $G$ if ${g_1^{x_1}, ldots , g_d^{x_d}}$ generates $G$ for every choice of $x_i in G$. The Chebotarev invariant $C(G)$ of $G$ is the expected value of the random variable $n$ that is minimal subject to the requirement that $n$ randomly chosen elements of $G$ invariably generate $G$. Confirming a conjecture of Kowalski and Zywina, we prove that there exists an absolute constant $beta$ such that $C(G) leq betasqrt{|G|}$ for all finite groups $G.$" @default.
- W2248085652 created "2016-06-24" @default.
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- W2248085652 date "2016-01-29" @default.
- W2248085652 modified "2023-09-27" @default.
- W2248085652 title "The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina" @default.
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- W2248085652 doi "https://doi.org/10.1090/proc/13116" @default.
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