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20102023
most citedStabilizers of Subspaces under Similitudes of the Klein Quadric, and Automorphisms of Heisenberg Algebras

7 citations · 14 across the 11 of their papers we have counts for

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math.GR2023

An isomorphism of unitals, and an isomorphism of classical groups

Markus Johannes Stroppel

An isomorphism between two hermitian unitals is proved, and used to treat isomorphisms of classical groups that are related to the isomorphism between certain simple real Lie algeb…

math.GR2022★ 1 cited

Hodge Operators and Exceptional Isomorphisms between Unitary Groups

Linus Kramer, Markus J. Stroppel

We give a generalization of the Hodge operator to spaces endowed with a hermitian or symmetric bilinear form over arbitrary fields, including the characteristic two cas…

math.GR2022

Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two

Linus Kramer, Markus J. Stroppel

We study groups of isometries on non-alternating symmetric bilinear forms on vector spaces of characteristic two, and actions of these groups on exterior powers of the space, viewe…

math.GR2020★ 3 cited

Moufang sets generated by translations in unitals

Theo Grundhöfer, Markus J. Stroppel, Hendrik Van Maldeghem

We consider unitals of order with two points which are centers of translation groups of order . The group generated by these translations induces a Moufang set on the bl…

math.GR2010★ 7 cited

Stabilizers of Subspaces under Similitudes of the Klein Quadric, and Automorphisms of Heisenberg Algebras

Michael Gulde, Markus Stroppel

We determine the groups of automorphisms and their orbits for nilpotent Lie algebras of class 2 and small dimension, over arbitrary fields (including the characteristic 2 case).