On subgroups with non-zero Möbius numbers in the alternating and symmetric groups.

DOI10.1016/j.jalgebra.2010.07.040zbMath1211.20003OpenAlexW1968085880MaRDI QIDQ618258

Valentina Colombo, Andrea Lucchini

Publication date: 14 January 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.07.040

zbMATH Keywords

Möbius functionsymmetric groupsalternating groupsnumbers of subgroupslattices of subgroupsprofinite groups

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Subgroups of symmetric groups (20B35)

Related Items (6)

A closure operator on the subgroup lattice of \(\operatorname{GL}(n, q)\) and \(\operatorname{PGL}(n, q)\) in relation to the zeros of the Möbius function ⋮ On profinite groups with polynomially bounded Möbius numbers ⋮ Finiteness of Profinite Groups with a Rational Probabilistic Zeta Function ⋮ The Möbius function of PSL(3,2p) for any prime p ⋮ The Möbius function of PSU(3, 2^{2^n}) ⋮ Profinite groups in which the probabilistic zeta function has no negative coefficients

Cites Work

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• On the subgroups with non-trivial Möbius number
• The Inclusion Problem for Finite Primitive Permutation Groups
• On the orders of Primitive Permutation Groups
• On Product Partitions of Integers
• Positively finitely generated groups

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