Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103762
Title: On subsets of partial difference sets
Authors: Ma, S.L. 
Issue Date: 15-Feb-1994
Citation: Ma, S.L. (1994-02-15). On subsets of partial difference sets. Discrete Mathematics 125 (1-3) : 263-272. ScholarBank@NUS Repository.
Abstract: Let G be a finite group of order v. A k-element subset D of G is called a (v,k, λ, μ)-partial difference set in G if the expressions gh-1, for g and h in D with g ≠ h, represent each nonidentity element contained in D exactly λ times and represent each nonidentity element not contained in D exactly μ times. Suppose G is abelian and H is a subgroup of G such that gcd (|H|,|G|/|H|) = 1 and |G|/|H| is odd. In this paper, we show that if D is a partial difference set in G with {d-1|d∈D} = D, then D ∩ H is a partial difference set in H. © 1994.
Source Title: Discrete Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103762
ISSN: 0012365X
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

19
checked on Nov 2, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.