Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints
DOI10.1090/memo/1465arXiv1908.09589OpenAlexW2969327593MaRDI QIDQ6124916
Tobias Rossmann, Christopher Voll
Publication date: 10 April 2024
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09589
unipotent groupsgraphshypergraphs\(p\)-adic integrationtoric geometryzeta functionscographsweak orders\(p\)-groupsgeneric matricesConjugacy classesaverage sizes of kernels
Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Exact enumeration problems, generating functions (05A15) Hypergraphs (05C65) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Conjugacy classes for groups (20E45) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41) Finite nilpotent groups, (p)-groups (20D15) Research exposition (monographs, survey articles) pertaining to group theory (20-02)
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