论文信息 - The completion of finite incomplete Steiner triple systems with applications to loop theory

The completion of finite incomplete Steiner triple systems with applications to loop theory

Abstract We show that every finite incomplete Steiner triple system (totally symmetric loop) can be embedded in a finite complete triple system (totally symmetric loop).

Christine Treash

[1] T. Evans. On multiplicative systems defined by generators and relations , 1951, Mathematical Proceedings of the Cambridge Philosophical Society.

[2] Trevor Evans,et al. Finitely Presented Loops, Lattices, etc. are Hopfian , 1969 .

[3] Trevor Evans,et al. Some Connections between Residual Finiteness, Finite Embeddability and the Word Problem , 1969 .