Linear extensions of partial orders on Abelian groups

Details Linear extensions of partial orders on Abelian groups Linear extensions of partial orders on Abelian groups

2011-06-20

arxiv.org/abs/1106.3938v3

Mathematics

Group Theory

Talk at AAA81 conference in Salzburg Updated references This article has been withdrawn. There exists a special case that is n

Scientific paper

Partially ordered groups, also known as po-groups, are groups with a compatible partial order. Results from M.I. Zajceva and H.H. Teh are combined in order to provide a full characterisation of linear order extensions of a given order on a group. In contrast to Teh this approach provides a method to discuss linear orders of different Abelian rank in a uniform manner. This will be achieved by modelling the linear orders as hyperplanes in a real vector space.

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