Proves W*-superrigidity for property (T) groups with infinite center and gives the first such example.
Non-virtually nilpotent groups have infinite conjugacy class quotients
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We offer in this note a self-contained proof of the fact that a finitely generated group is not virtually nilpotent if and only if it has a quotient with the infinite conjugacy class (ICC) propoerty. This proof is a modern presentation of the original proof, by McLain (1956) and Duguid and McLain (1956).
verdicts
UNVERDICTED 2representative citing papers
First-order formulae are concise in acylindrically hyperbolic groups and other classes including Burnside, ICC, and torus knot groups, with results on finiteness of definable sets.
citing papers explorer
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W$^*$-superrigidity for property (T) groups with infinite center
Proves W*-superrigidity for property (T) groups with infinite center and gives the first such example.
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Concise formulae in groups of non-positive curvature
First-order formulae are concise in acylindrically hyperbolic groups and other classes including Burnside, ICC, and torus knot groups, with results on finiteness of definable sets.