scientific article; zbMATH DE number 2051201
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Publication:4453493
zbMath1070.20025MaRDI QIDQ4453493
Publication date: 7 March 2004
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Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05) Other Dirichlet series and zeta functions (11M41) Probabilistic methods in group theory (20P05)
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On the Dirichlet polynomial of finite groups of Lie type. ⋮ The probabilistic zeta function of finite simple groups. ⋮ Recognizing the characteristic of a simple group of Lie type from its probabilistic zeta function. ⋮ Recognizing the Non-Frattini Abelian Chief Factors of a Finite Group from Its Probabilistic Zeta Function ⋮ On the irreducibility of the Dirichlet polynomial of a simple group of Lie type. ⋮ The Probabilistic Zeta Function of Alternating and Symmetric Groups
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