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arxiv: 1209.5372 · v1 · pith:HXOAYQKUnew · submitted 2012-09-24 · 🧮 math.GR

Simplicity of twin tree lattices with non-trivial commutation relations

classification 🧮 math.GR
keywords latticescommutationnon-trivialrelationssimplicitytreetwinapplies
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We prove a simplicity criterion for certain twin tree lattices. It applies to all rank two Kac-Moody groups over finite fields with non-trivial commutation relations, thereby yielding examples of simple non-uniform lattices in the product of two trees.

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