Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

On the number of transversals in Cayley tables of cyclic groups

Date

Authors

Cavenagh, Nicholas J

Wanless, Ian

Publisher

Elsevier

Abstract

It is well known that if n is even, the addition table for the integers modulo n (which we denote by Bn) possesses no transversals. We show that if n is odd, then the number of transversals in Bn is at least exponential in n. Equivalently, for odd n, the

Keywords

Keywords: Complete mapping; Diagonally cyclic; Homogeneous latin bitrade; Latin square; Magic juggling sequence; Orthomorphism; Random MOLS; Semi-queen; Transversal; Mapping; Recreational facilities Complete mapping; Diagonally cyclic; Homogeneous latin bitrade; Latin square; Magic juggling sequence; Orthomorphism; Random MOLS; Semi-queen; Transversal

URI

http://hdl.handle.net/1885/56238

Collections

ANU Research Publications

Source

Discrete Applied Mathematics

Type

Journal article

DOI

10.1016/j.dam.2009.09.006

Restricted until

2037-12-31

Downloads

File

Description

01_Cavenagh_On_the_number_of_transversals_2010.pdf (733.2 KB)

abcd