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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Showing 2021Show all

3 papers · 1 filter

math.GR2021★ 1 cited

Bounded generation by root elements for Chevalley groups defined over rings of integers of function fields with an application in strong boundedness

Alexander A. Trost

Bounded generation by root elements is a property which has been widely studied for various types of linear algebraic groups defined over rings of integers in algebraic number fiel…

math.GR2021

Strong boundedness of $SL_{2} (R)$ for rings of S-algebraic integers with infinitely many units

Alexander Alois Trost

A group is called strongly bounded, if the speed with which it is generated by finitely many conjugacy classes has a positive, lower bound only dependent on the number of the conju…

math.GR2021★ 2 cited

Bounded generation for congruence subgroups of $Sp_{4} (R)$

Alexander Alois Trost

This paper describes a bounded generation result concerning the minimal natural number $K$ such that for $Q (C_{2}, 2 R) := {A ε_{ϕ} (2 x) A^{- 1} ∣ x \in R, A \in Sp_{4} (R), ϕ \in C_{2}}$ …

Bounded generation by root elements for Chevalley groups defined over rings of integers of function fields with an application in strong boundedness

Strong boundedness of SL2​(R) for rings of S-algebraic integers with infinitely many units

Bounded generation for congruence subgroups of Sp4​(R)

Strong boundedness of $SL_{2} (R)$ for rings of S-algebraic integers with infinitely many units

Bounded generation for congruence subgroups of $Sp_{4} (R)$