
Accession Number : AD0717178
Title : Ternary Rings of a Class of Linearly Representable SemiTranslation Planes,
Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS
Personal Author(s) : Bose,R. C. ; Smith,K. J. C.
Report Date : NOV 1970
Pagination or Media Count : 44
Abstract : The theory of linear representation of projective planes was developed by Bruck and one of the authors (Bose) in two earlier papers (1964) and (1966), respectively. Bose and Barlotti obtained some new linear representations by generating the concept of incidence in the representation. In this paper, it is shown that the deltaplanes of Bose and Barlotti are semitranslation planes, and the ternary rings of these planes are obtained, where the ternary function of delta is expressed explicitly in terms of the addition and multiplication in the VeblenWedderburn system, coordinatizing the translation plane T, from which delta can be obtained by dualization and derivation. (Author)
Descriptors : (*VECTOR SPACES, *RINGS(MATHEMATICS)), COMBINATORIAL ANALYSIS, GROUPS(MATHEMATICS), PROJECTIVE GEOMETRY, MATRICES(MATHEMATICS), THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE