Profinite groups in which the probabilistic zeta function has no negative coefficients
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Publication:4989995
DOI10.1142/S0218196721500120OpenAlexW3099096593MaRDI QIDQ4989995
Eloisa Detomi, Andrea Lucchini
Publication date: 27 May 2021
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.06918
Subgroup theorems; subgroup growth (20E07) Other Dirichlet series and zeta functions (11M41) Probabilistic methods in group theory (20P05)
Uses Software
Cites Work
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- The probability of generating a finite simple group.
- On subgroups with non-zero Möbius numbers in the alternating and symmetric groups.
- Simple groups, maximal subgroups, and probabilistic aspects of profinite groups
- The probabilistic zeta function of \(\text{PSL}(2,q)\), of the Suzuki groups \(^2B_2(q)\) and of the Ree groups \(^2G_2(q)\).
- Crowns and factorization of the probabilistic zeta function of a finite group.
- On the irreducibility of the Dirichlet polynomial of a simple group of Lie type.
- On the number of ordered factorizations of natural numbers
- The coset poset and probabilistic zeta function of a finite group
- Profinite groups in which the probabilistic zeta function coincides with the subgroup zeta function.
- On profinite groups with polynomially bounded Möbius numbers
- A PROBABILISTIC ZETA FUNCTION FOR ARITHMETIC GROUPS
- On the subgroups with non-trivial Möbius number
- RECOGNIZING SOLUBLE GROUPS FROM THEIR PROBABILISTIC ZETA FUNCTIONS
- The X-Dirichlet polynomial of a finite group
- PROFINITE GROUPS WITH MULTIPLICATIVE PROBABILISTIC ZETA FUNCTION
- Positively finitely generated groups
- Subgroups of solvable groups with non-zero Möbius function
- THE EULERIAN FUNCTIONS OF A GROUP
- On the Möbius function of a finite group
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