Intertwining automorphisms in finite incidence structures
type: Item
instance of: scholarly article
title: Intertwining automorphisms in finite incidence structures
zbMATH Open document ID: 0681.20002
DOI: 10.1016/0024-3795(89)90545-4
author: Johannes Siemons
author: A. R. Camina
published in: Linear Algebra and its Applications
publication date: 1989-01-01T00:00:00Z
full work available at URL: interwining automorphisms in finite incidence structures 1989.pdf
review text: The linear representations of a group acting on a finite incidence structure (P,B;I) (where P: points, B: blocks; I: incidence) are studied and known results reviewed. Two results: Under some `nondegeneracy conditions' for the point-adjacency matrix, the linear representation related to P occurs in the one related to B. If the rank of the incidence matrix over \({\mathbb{R}}\) equals the order of P, then the permutation rank on P is bounded by the one on B.
reviewed by: Arjeh M. Cohen
Mathematics Subject Classification ID: 20B25
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 51A10
zbMATH DE Number: 4114858
zbMATH Keywords: block designs
zbMATH Keywords: automorphism groups
zbMATH Keywords: linear representations
zbMATH Keywords: finite incidence structure
zbMATH Keywords: point-adjacency matrix
zbMATH Keywords: incidence matrix
zbMATH Keywords: permutation rank
MaRDI profile type: Publication
OpenAlex ID: W2024049614
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description: scientific article; zbMATH DE number 4114858