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arXiv · 1406.6899

Cyclicity degrees of finite groups

Marius Tărnăuceanu·László Tóth
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Abstract

We introduce and study the concept of cyclicity degree of a finite group $G$. This quantity measures the probability of a random subgroup of $G$ to be cyclic. Explicit formulas are obtained for some particular classes of finite groups. An asymptotic formula and several minimality/maximality results on cyclicity degrees are also inferred.

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Marius Tărnăuceanu, László Tóth. 2015-04-07. Cyclicity degrees of finite groups. https://doi.org/10.1007/s10474-015-0480-2

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