Accession Number : AD0623749

Title :   RECENT ADVANCES IN DIFFERENCE SETS,

Descriptive Note : Technical summary rept.,

Corporate Author : MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON

Personal Author(s) : Mann,Henry B.

Report Date : JUL 1965

Pagination or Media Count : 15

Abstract : An enumeration of cyclic difference sets by Marshall Hall in 1956 left 12 cases undecided. During the last three years all 12 cases were disposed of. The present paper combines methods of Yamamoto and Turyn to present a result which disposes not only of Hall's 12 cases but also of many other cases including non cyclic ones. Some of the author's results on difference sets in elementary Abelian groups are also discussed. (Author)

Descriptors :   (*SET THEORY, GROUPS(MATHEMATICS)), COMBINATORIAL ANALYSIS, MATRICES(MATHEMATICS)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE