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Subjects
20-XX Group theory and generalizations
20Gxx Linear algebraic groups and related topics
20G30 Linear algebraic groups over global fields and their integers

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Displaying 1 – 5 of 5

Eine Bemerkung zur Reduktionstheorie in orthogonalen Gruppen.

Sigrid BÖGE (1971)

Mathematische Annalen

Éléments unipotents et sous-groupes paraboliques de groupes réductifes. I.

J. Tits, A. Borel (1971)

Inventiones mathematicae

Embeddings of maximal tori in orthogonal groups

Eva Bayer-Fluckiger (2014)

Annales de l’institut Fourier

We give necessary and sufficient conditions for an orthogonal group defined over a global field of characteristic $\neq 2$ to contain a maximal torus of a given type.

Endliche arithmetische Untergruppen der GLn.

H.-J. Bartels, Y. Kitaoka (1980)

Journal für die reine und angewandte Mathematik

Expansion in $S L_{d} (𝒪_{K} / I)$ , $I$ square-free

Péter P. Varjú (2012)

Journal of the European Mathematical Society

Let $S$ be a fixed symmetric finite subset of $S L_{d} (𝒪_{K})$ that generates a Zariski dense subgroup of $S L_{d} (𝒪_{K})$ when we consider it as an algebraic group over $m a t h b b Q$ by restriction of scalars. We prove that the Cayley graphs of $S L_{d} (𝒪_{K} / I)$ with respect to the projections of $S$ is an expander family if $I$ ranges over square-free ideals of $𝒪_{K}$ if $d = 2$ and $K$ is an arbitrary numberfield, or if $d = 3$ and $K = ℚ$ .

Currently displaying 1 – 5 of 5

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