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On central difference sets in certain non-abelian 2-groups

✍ Scribed by Rod Gow; Rachel Quinlan

Book ID
108167161
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
104 KB
Volume
113
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES

On non-Abelian group difference sets
On non-Abelian group difference sets
✍ Shuhong Gao; Wandi Wei πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 572 KB

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

A class of non-abelian 2-groups containi
A class of non-abelian 2-groups containing Menon difference sets
✍ D.B. Meisner; F.C. Piper; P.R. Wild πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 305 KB

We show that every group in a certain class of 2-groups contains a Menon difference set. This provides further positive evidence for a conjecture of Dillon concerning 2-groups of order 22/ which contain a normal subgroup isomorphic to Z~. The conjecture, however, remains open.

Application of GaschΓΌtz' Theorem to rela
Application of GaschΓΌtz' Theorem to relative difference sets in non-abelian groups
✍ John C. Galati πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 80 KB

## Abstract Let __G__ be a finite group other than β„€~4~ and suppose that __G__ contains a semiregular relative difference set (RDS) relative to a central subgroup __U__. We apply GaschΓΌtz' Theorem from finite group theory to show that if __G__/__U__ has cyclic Sylow subgroups for each prime divisor