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arxiv: 1008.4909 · v1 · pith:A4ZCD65Qnew · submitted 2010-08-29 · 🧮 math.GR · math.NT

The Chebotarev invariant of a finite group

classification 🧮 math.GR math.NT
keywords finitegroupinvariantsrelatedchebotarevclassesconjugacyconsider
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We consider invariants of a finite group related to the number of random (independent, uniformly distributed) conjugacy classes which 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.

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