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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

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Publication:6122749
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DOI10.1515/jgth-2023-0021arXiv2212.05886OpenAlexW4386833822MaRDI QIDQ6122749

Luca Di Gravina

Publication date: 1 March 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.05886



Mathematics Subject Classification ID

Group theory and generalizations (20-XX)





Cites Work

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  • On subgroups with non-zero Möbius numbers in the alternating and symmetric groups.
  • On the maximal subgroups of the finite classical groups
  • Fonction de Möbius d'un groupe fini et anneau de Burnside. (Möbius function of a finite group and the Burnside ring)
  • Cyclic matrices in classical groups over finite fields
  • A PROBABILISTIC ZETA FUNCTION FOR ARITHMETIC GROUPS
  • On the subgroups with non-trivial Möbius number
  • The Finite Simple Groups
  • The Invariant Subspace Lattice of a Linear Transformation
  • On the Möbius function of a finite group




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