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The Probabilistic Zeta Function of the Alternating Group $\operatorname{Alt}(p+1)$

Marilena Massa — 2007

Bollettino dell'Unione Matematica Italiana

We study the irreducibility of the Dirichlet polynomial $P_{G}(s)$ when $G$ is the alternating group on $p+1$ elements with $p$ prime and we prove that $P_{G}(s)$ is irreducible for infinitely many choiches of $p$ .

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The Probabilistic Zeta Function of the Alternating Group Alt ⁡ ( p + 1 )

The Probabilistic Zeta Function of the Alternating Group $\operatorname{Alt}(p+1)$