Bitranslations and Symmetric Nets

الملخص EN

It is known that every class-regular symmetric (μ,m)-net is tactical.

Also it is known that all (μ,m)-nets with m=2 or μ=1 are tactical.

In the work of Al-Kenani and Mavron (2003), it is proved that every symmetric net with m=3 is tactical if and only if it is class regular.

In this paper, we construct (2,4)-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.