Alexander A. Trost

activity

20182023

most citedStrong boundedness of simply connected split Chevalley groups defined over rings

8 citations · 25 across the 10 of their papers we have counts for

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math.GR2022★ 4 cited

Elementary bounded generation for $SL_{n}$ for global function fields and $n \geq 3$

Alexander Alois Trost

This paper shows that the group $SL_{n} (R)$ is boundedly elementary generated for $n \geq 3$ and $R$ the ring of algebraic integers in a global function field. Contrary to previ…

math.GR2022

The dichotomy property of $SL_{2} (R)$ -A short note

Alexander Alois Trost

A recent paper by Polterovich, Shalom and Shem-Tov has shown that non-discrete, conjugation invariant norms on arithmetic Chevalley groups of higher rank give rise to very restrict…

Elementary bounded generation for SLn​ for global function fields and n≥3

The dichotomy property of SL2​(R)-A short note

Elementary bounded generation for $SL_{n}$ for global function fields and $n \geq 3$

The dichotomy property of $SL_{2} (R)$ -A short note