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Algebra Commons

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2010

Dirichlet series

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Full-Text Articles in Algebra

The Probabilistic Zeta Function, Bret Benesh Jan 2010

The Probabilistic Zeta Function, Bret Benesh

Mathematics Faculty Publications

This paper is a summary of results on the PG(s) function, which is the reciprocal of the probabilistic zeta function for finite groups. This function gives the probability that s randomly chosen elements generate a group G, and information about the structure of the group G is embedded in it.