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Results tagged with ordered-groups
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user 19075
Groups (possibly semigroups) endowed with possibly left/right/bi-invariant partial/total orderings. Study of such orders on groups.
3
votes
Unique product group which is not right orderable
Every U.P. group is a t.u.p group. See
Andrzej Strojnowski, A note on u.p. groups, Communications in Algebra, 8:3, (1980) 231-234. doi:10.1080/00927878008822456
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2
votes
1
answer
202
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Is there a non-right-orderable torsion-free quotient group of the braid group on 3 strands?
The braid group on 3 strands has the presentation $\langle x,y \;|\; xyx=yxy\rangle$. A group $G$ is called right-orderable if there is a total order $<$ on the set $G$ such that if $a<b$ then $ac<bc$ …
- 3,738