Triangle Joins of SP1 Equivalence Relations and their Cost

Details Triangle Joins of SP1 Equivalence Relations and their Cost Triangle Joins of SP1 Equivalence Relations and their Cost

2005-03-15

arxiv.org/abs/math/0503280v2

Mathematics

Group Theory

Added computation of the cost of Thompsons group G

Scientific paper

Free joins of measure preserving equivalence relations, with or without
amalgamation were introduced by Gaboriau, who studied their cost and obtained a
formula for the cost of free products of groups. We introduce the notion of
triangle join of measure preserving equivalence relations and study their cost.
As a consequence we show that the cost of Thompson's group G is 1.

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