منابع مشابه
Construction of relative difference sets in p-groups
7 Davis, J.A., Construction of relative difference sets in p-groups, Discrete Mathematics 103 (1992) 7-15. Jungnickel (1982) and Elliot and Butson (1966) have shown that (pi+ , p, pi+•, pi) relative difference sets exist in the elementary abelian p-group case (p an odd prime) and many 2-groups for the case p = 2. This paper provides two new constructions of relative difference sets with these p...
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Let P be a fixed set of primes, G the category of all groups and grouphomomorphisms, and N the full subcategory of nilpotent groups. In [9], an idempotent functor e: N → N , called P -localization, was defined so as to extend the Z-module-theoretic localization of abelian groups. There are two wellknown extensions of e to G, namely, Bousfield’s P -localization [2], [4], denoted by EZP , and Rib...
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An exponent bound ia presented for abelian (pi+j, p0, p•+;, pi) relative c:liffere.nce sets: this botllld can be met for i $ j. RESULT For background in Relative Difference Sets (RDS), see [3]. The basic group ring equation for a RDS Din a group G with a forbidden subgroup N is nn<-1> = k + A(GN) If x is a character on the abelian group G, then we have three possibilities for I x(D) l=I L:dED x...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2001
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(00)00187-0