Intertwining automorphisms in finite incidence structures

Camina, Alan and Siemons, Johannes (1989) Intertwining automorphisms in finite incidence structures. Linear Algebra and its Applications, 117 (1). pp. 25-34.

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Abstract

The automorphism group of a finite incidence structure acts as permutation groups on the points and on the blocks of the structure. We view these actions as linear representations and observe that they are intertwined by the incidence relation. Most commonly the intertwining is of maximal linear rank, so that the representation on points appears as a subrepresentation of the action of the blocks. The paper investigates various consequences of this fact.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:26
Last Modified:	28 Mar 2025 05:09
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20877
DOI:	10.1016/0024-3795(89)90545-4

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