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Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints - Couverture souple
Synopsis
We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong uniformity results pertaining to zeta functions enumerating conjugacy classes of these groups. We deduce that the numbers of conjugacy classes of Fq-points of the groups under consideration depend polynomially on q. Our approach combines group theory, graph theory, toric geometry, and p-adic integration.
Our uniformity results are in line with a conjecture of Higman on the numbers of conjugacy classes of unitriangular matrix groups. Our findings are, however, in stark contrast to related results by Belkale and Brosnan on the numbers of generic symmetric matrices of given rank associated with graphs.
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À propos de l?auteur
Tobias Rossmann, University of Galway, Ireland.
Christopher Voll, Universitat Bielefeld, Germany.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Groups, Graphs, And Hypergraphs: Average Sizes Of Kernels Of Generic Matrices With Support Constraints
ISBN 10 : 1470468689
ISBN 13 : 9781470468682
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Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints
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American Mathematical Society, US, 2024
ISBN 10 : 1470468689
ISBN 13 : 9781470468682
Neuf
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Paperback. Etat : New. We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong uniformity results pertaining to zeta functions enumerating conjugacy classes of these groups. We deduce that the numbers of conjugacy classes of Fq-points of the groups under consideration depend polynomially on q. Our approach combines group theory, graph theory, toric geometry, and p-adic integration.Our uniformity results are in line with a conjecture of Higman on the numbers of conjugacy classes of unitriangular matrix groups. Our findings are, however, in stark contrast to related results by Belkale and Brosnan on the numbers of generic symmetric matrices of given rank associated with graphs. N° de réf. du vendeur LU-9781470468682
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Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints
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Groups, Graphs, And Hypergraphs: Average Sizes Of Kernels Of Generic Matrices With Support Constraints
ISBN 10 : 1470468689
ISBN 13 : 9781470468682
Neuf
Couverture souple
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Groups, Graphs, And Hypergraphs: Average Sizes Of Kernels Of Generic Matrices With Support Constraints
ISBN 10 : 1470468689
ISBN 13 : 9781470468682
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Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints
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ISBN 10 : 1470468689
ISBN 13 : 9781470468682
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Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints: Volume: 294 Number: 1465 (Memoirs of the American Mathematical Society)
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Groups, Graphs, And Hypergraphs: Average Sizes Of Kernels Of Generic Matrices With Support Constraints
ISBN 10 : 1470468689
ISBN 13 : 9781470468682
Ancien ou d'occasion
Couverture souple
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 47521589
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Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints
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ISBN 13 : 9781470468682
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Groups, Graphs, and Hypergraphs: Average Sizes of Kernels of Generic Matrices with Support Constraints
Edité par
American Mathematical Society, US, 2024
ISBN 10 : 1470468689
ISBN 13 : 9781470468682
Neuf
Paperback
Vendeur : Rarewaves.com UK, London, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong uniformity results pertaining to zeta functions enumerating conjugacy classes of these groups. We deduce that the numbers of conjugacy classes of Fq-points of the groups under consideration depend polynomially on q. Our approach combines group theory, graph theory, toric geometry, and p-adic integration.Our uniformity results are in line with a conjecture of Higman on the numbers of conjugacy classes of unitriangular matrix groups. Our findings are, however, in stark contrast to related results by Belkale and Brosnan on the numbers of generic symmetric matrices of given rank associated with graphs. N° de réf. du vendeur LU-9781470468682
Quantité disponible : 7 disponible(s)