The Chebotarev Invariant of a Finite Group

Emmanuel Kowalski; David Zywina

doi:em/1338430812

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Home > Journals > Experiment. Math. > Volume 21 > Issue 1 > Article

2012 The Chebotarev Invariant of a Finite Group

Emmanuel Kowalski, David Zywina

Experiment. Math. 21(1): 38-56 (2012).

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Abstract

We consider invariants of a finite group related to the number of random (independent, uniformly distributed) conjugacy classes that are required to generate it. These invariants are intuitively related to problems of Galois theory.We find group-theoretic expressions for them and investigate their values both theoretically and numerically.