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Character polynomials and the Möbius function

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Publication:1898864
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DOI10.1007/BF01270687zbMath0841.20005OpenAlexW2092699541MaRDI QIDQ1898864

Herbert Pahlings

Publication date: 14 July 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01270687


zbMATH Keywords

Möbius functionfinite groupspartially ordered setspermutation modulesactionssymmetric and alternating groupstransitive subgroups


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Combinatorics of partially ordered sets (06A07) Subgroups of symmetric groups (20B35)


Related Items

On the Möbius number of the subgroup lattice of the symmetric group


Uses Software

  • GAP


Cites Work

  • Waring's problem for algebraic number fields and primes of the form \((p^ r -1)/(p^ d-1)\)
  • Group actions on Cartesian powers with applications to represenation theory.
  • Polynomials Associated to Characters
  • Finite Permutation Groups and Finite Simple Groups
  • The Subgroups of M24, or How to Compute the Table of Marks of a Finite Group
  • On the Möbius function of a finite group
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