Department of Mathematics, King Abdulaziz University, P.O. Box 80219, Jeddah 21589, Saudi Arabia
Copyright © 2010 Ahmad N. Al-Kenani. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
It is known that every class-regular symmetric -net is tactical. Also it is known that all -nets with or are tactical. In the work of Al-Kenani and Mavron (2003), it is proved that every symmetric net with is tactical if and only if it is class regular. In this paper, we construct -net and show that it
is class regular and therefore tactical. New necessary and sufficient conditions are given for a symmetric net to admit a nonidentity bitranslation.