Accession Number : AD0730355

Title :   Linear Representations of Derived Shears Planes,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Krier,Nicholas

Report Date : JUN 1971

Pagination or Media Count : 18

Abstract : A linear representation is determined for any semitranslation plane derived from a shears plane delta T, which generalizes that determined in a special case by Bose and Barlotti. The connection is made between the geometry of the representation of delta T in the case that delta T is derivable and the conditions imposed on coordinatizations of delta T determined by Ostrom. Finally we note that a family of translation planes discovered by Knuth are derivable. The derived planes are not strict semitranslation planes but they fall in general outside the class covered by Bose and Barlotti in their representation. (Author)

Descriptors :   (*SET THEORY, GEOMETRY), MAPPING(TRANSFORMATIONS), VECTOR SPACES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE