Locally s-arc transitive graphs with two different quasiprimitive actions

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Abstract

Previous work of the authors has shown that an important class of locally (G, 2)-arc transitive graphs are those for which G acts faithfully and quasiprimitively on each of its two orbits on vertices. In this paper we give a complete classification in the case where the two quasiprimitive actions of G are of different types. The graphs obtained have amalgams previously unknown to the authors and involve both an almost simple 2-transitive action and an affine, 2-transitive action on the neighbourhoods of vertices. (c) 2005 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)863-890
JournalJournal of Algebra
Volume299
Issue number2
DOIs
Publication statusPublished - 2006

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