The Chebotarev invariant of a finite group

Details The Chebotarev invariant of a finite group The Chebotarev invariant of a finite group

2010-08-29

arxiv.org/abs/1008.4909v1

Mathematics

Group Theory

47 pages, 2 figures, 14 tables

Scientific paper

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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