This article is cited in 2 papers

Cayley graphs of the group $\mathbb Z^4$ and limits for minimal vertex-primitive graphs of $HA$-type

K. V. Kostousov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: We point out a countable set of pairwise nonisomorphic Cayley graphs of the group $\mathbb Z^4$ that are limit for finite minimal vertex-primitive graphs admitting a vertex-primitive automorphism group containing a regular Abelian normal subgroup.

Keywords: vertex-primitive graph, limit graph, Cayley graph of free Abelian group.

UDC: 512.54+519.17

Received: 15.05.2006

 English version: Algebra and Logic, 2008, 47:2, 118–124

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