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Baum-Slag Solitar -> Baumslag–Solitar
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LSpice
LSpice
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Are the Baum-Slag SolitarBaumslag–Solitar groups locally indicable groups?

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navashree chanania
navashree chanania
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Are the Baum-Slag Solitar groups locally indicable groups?

BS(1,-1) is a right-ordered and locally indicable group. Additionally, BS(1,n) where n is a positive integer are ordered groups, therefore they are also locally indicable groups. What can be said about BS(1,n) where n<-1? They are right-ordered groups, but are they also locally indicable groups? Furthermore, what about BS(m,n) where m is not equal to 1? Are they locally indicable groups?