Intertwining automorphisms in finite incidence structures

Alan Camina; Johannes Siemons

doi:10.1016/0024-3795(89)90545-4

Intertwining automorphisms in finite incidence structures

Alan Camina, Johannes Siemons

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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.

Original language	English
Pages (from-to)	25-34
Number of pages	10
Journal	Linear Algebra and its Applications
Volume	117
Issue number	1
DOIs	https://doi.org/10.1016/0024-3795(89)90545-4
Publication status	Published - 1989

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Cite this

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title = "Intertwining automorphisms in finite incidence structures",

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.",

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AU - Camina, Alan

AU - Siemons, Johannes

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AB - 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.

U2 - 10.1016/0024-3795(89)90545-4

DO - 10.1016/0024-3795(89)90545-4

M3 - Article

VL - 117

SP - 25

EP - 34

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

IS - 1

ER -