Accession Number : AD0424685

Title :   DIFFERENCE SETS IN ELEMENTARY ABELIAN GROUPS,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Mann,H. B.

Report Date : SEP 1963

Pagination or Media Count : 18

Abstract : Difference sets are considered in elementary Abelian groups of order p to the mth power, m>1. For odd values of p the quadratic residues of G.F. (p to the n power) form a difference set if and only if p to the n power is identical to 3 (4). A new necessary condition for the existence of difference sets in elementary p groups is derived. An enumeration of all parameter combinations with v=p to the m power, less that or equal to 2500,m>1 leaves only nine cases undecided. (Author)

Descriptors :   (*GROUPS (MATHEMATICS), THEORY), EQUATIONS, SERIES(MATHEMATICS), NUMBER THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE