Vol. 40, No. 2, 1972

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
An algebraic property of the totally symmetric loops associated with Kirkman-Steiner triple systems

A. Hedayat

Vol. 40 (1972), No. 2, 305–309
Abstract

The concept of an x-root of degree r in a loop of order n is introduced. It is shown that the totally symmetric loop of order n + 1 derived from any Kirkman-Steiner triple system of order n admits a maximal identity-root. A statisticalcombinatorial application of this algebraic property is then indicated. Finally, two open problems are also given.

Mathematical Subject Classification 2000
Primary: 05B15
Milestones
Received: 9 March 1970
Published: 1 February 1972
Authors
A. Hedayat