This article is cited in 3 papers

Correspondence Between Near-Domains and Groups

A. A. Simonov


Abstract: We study into the relationship between an algebraic structure, close to a near-domain, defined on a set $B$ and sharply doubly transitive groups on a subset of $B^2$. The results obtained allow us to resolve a problem in the theory of physical structures for range $(3,2)$.

Keywords: doubly transitive group, near-domain, physical structure.

UDC: 512.543.7+512.558

Received: 24.03.2005
Revised: 21.03.2006

 English version: Algebra and Logic, 2006, 45:2, 139–146

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