On non-abelian C-minimal groups
β Scribed by Patrick Simonetta
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 232 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0168-0072
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π SIMILAR VOLUMES
Let G be a group. We study the minimal sumset (or product set) size ΞΌ G (r, s) = min{|A β’ B|}, where A, B range over all subsets of G with cardinality r, s respectively. The function ΞΌ G has recently been fully determined in [S. Eliahou, M. Kervaire, A. Plagne, Optimally small sumsets in finite abel
A Cayley digraph X = Cay(G, S) is said to be normal for G if the regular representation R(G) of G is normal in the full automorphism group Aut(X ) of X . A characterization of normal minimal Cayley digraphs for abelian groups is given. In addition, the abelian groups, all of whose minimal Cayley dig
Gao, S. and W. Wei, On non-Abelian group difference sets, Discrete Mathematics 112 (1993) 93-102. This paper is motivated by Bruck's paper (1955) in which he proved that the existence of cyclic projective plane of order n E 1 (mod 3) implies that of a nonplanar difference set of the same order by p
## Abstract We give several constructions for invertible terraces and invertible directed terraces. These enable us to give the first known infinite families of invertible terrraces, both directed and undirected, for nonβabelian groups. In particular, we show that all generalized dicyclic groups of