Introduces class C of groups with smooth conjugacy for minimal line actions, proves stability and inclusion of piecewise affine groups, and exhibits a finitely generated G not in C with amenability equivalent to Thompson's F.
Algebraic actions of discrete groups: thep-adic method
2 Pith papers cite this work. Polarity classification is still indexing.
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Lattices in simple p-adic groups have only finite C1 actions on compact manifolds of dimension less than the rank; extended to totally disconnected S-arithmetic groups with critical dimension equal to maximal rank of simple factors.
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Groups with classifiable actions on the line
Introduces class C of groups with smooth conjugacy for minimal line actions, proves stability and inclusion of piecewise affine groups, and exhibits a finitely generated G not in C with amenability equivalent to Thompson's F.
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Actions of lattices in $S$-arithmetic groups on manifolds
Lattices in simple p-adic groups have only finite C1 actions on compact manifolds of dimension less than the rank; extended to totally disconnected S-arithmetic groups with critical dimension equal to maximal rank of simple factors.