Comments on R12 in volume 9(1)

"A Generalisation of Transversals for Latin Squares"

Comments by the author, June 7, 2009:

The author wishes to thank Judith Egan for her careful reading of this paper and for pointing out the following errors:

In the second paragraph on Page 9, all references to A₁₁ should be to A₀₀. In the same paragraph bordered by s_ig_a should say bordered by sⁱg_a.
The value given in the table on page 10 for the most 2-plexes in LS(7)\C(7) is incorrect. Rather than 4295 it should say 4368.
The last display on page 13 should say B_jj=m²+j rather than B_jj=m²+jj.
On page 14, the italicised words should be added to the following sentence in the summary:
In doing so we strengthen Ryser's conjecture that every latin square of odd order has a transversal.

Readers who are interested in this paper may also be interested in the subsequent work to be found in:

D. Bryant, J. Egan, B. Maenhaut and I. M. Wanless, Indivisible plexes in latin squares, Des. Codes Cryptogr. 52 (2009) 93-105.
J. A. Egan and I. M. Wanless, Latin squares with no small odd plexes, J. Combin. Designs, 16 (2008) 477-492.
I. M. Wanless, Transversals in latin squares, Quasigroups Related Systems 15, (2007) 169-190.