Open Access
2012 The Chebotarev Invariant of a Finite Group
Emmanuel Kowalski, David Zywina
Experiment. Math. 21(1): 38-56 (2012).


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.


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Emmanuel Kowalski. David Zywina. "The Chebotarev Invariant of a Finite Group." Experiment. Math. 21 (1) 38 - 56, 2012.


Published: 2012
First available in Project Euclid: 31 May 2012

zbMATH: 1277.20080
MathSciNet: MR2904906

Primary: 20Dxx , 20F69 , 20K01 , 20P05 , 60Bxx

Keywords: Chebotarev density theorem , conjugacy classes generating a group , coupon collector problems , Galois group , probabilistic group theory

Rights: Copyright © 2012 A K Peters, Ltd.

Vol.21 • No. 1 • 2012
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