
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