G. A. Soifer scite author profile

Let Γ be a subgroup of the group of affine transformations of the affine space R 2n+1 . Suppose Γ acts properly discontinuously on R 2n+1 . The paper deals with the question which subgroups of GL(2n + 1, R) occur as Zariski closure (Γ) of the linear part of such a group Γ. The two main results of the paper say that SO(n + 1, n) does occur as (Γ) of such a group Γ if n is odd, but does not if n is even.

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Properly discontinuous groups of affine transformations with orthogonal linear part

Abels

Margulis

Soifer

1997

Comptes Rendus de l'Académie des Sciences - Series I - Mathemat

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Maximal subgroups of infinite index in finitely generated linear groups

Margulis

Soifer²

1981

Journal of Algebra

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G. A. Soifer

Semigroups containing proximal linear maps

Properly discontinuous groups of affine transformations with orthogonal linear part

On the Zariski Closure of the Linear Part of a Properly Discontinuous Group of Affine Transformations

Properly discontinuous groups of affine transformations with orthogonal linear part

Maximal subgroups of infinite index in finitely generated linear groups

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