Intertwining automorphisms in finite incidence structures

Alan Camina, Johannes Siemons

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6 Citations (Scopus)
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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 languageEnglish
Pages (from-to)25-34
Number of pages10
JournalLinear Algebra and its Applications
Volume117
Issue number1
DOIs
Publication statusPublished - 1989

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