24 citations · 47 across the 13 of their papers we have counts for
14 papers
Computing canonical labellings of finite solvable groups
Santiago Barrera Acevedo, Heiko Dietrich, Max Horn
We define a canonical labelling function on the class of finite solvable groups so that two such groups and are isomorphic if and only if cancan. Specifically, c…
Constructive Recognition of Special Linear Groups
Max Horn, Alice Niemeyer, Cheryl Praeger +1
We introduce a new constructive recognition algorithm for finite special linear groups in their natural representation. Given a group generated by a set of matrices…
Group theory in OSCAR
Claus Fieker, Max Horn
OSCAR is an innovative new computer algebra system which combines and extends the power of its four cornerstone systems - GAP (group theory), Singular (algebra and algebraic geomet…
Decompositions of Kac-Moody groups
Max Horn
Let be a split (minimal) Kac-Moody group over or with maximal torus , and let be a Cartan-Chevalley involution of , twisted by complex conju…
Kac-Moody symmetric spaces
Walter Freyn, Tobias Hartnick, Max Horn +1
In the present article we introduce and study a class of topological reflection spaces that we call Kac-Moody symmetric spaces. These generalize Riemannian symmetric spaces of non-…
Moufang Twin Trees of prime order
Matthias Grüninger, Max Horn, Bernhard Mühlherr
We prove that the unipotent horocyclic group of a Moufang twin tree of prime order is nilpotent of class at most 2.
Spin covers of maximal compact subgroups of Kac-Moody groups and spin-extended Weyl groups
David Ghatei, Max Horn, Ralf Köhl +1
Let G be a split real Kac-Moody group of arbitrary type and let K be its maximal compact subgroup, i.e. the subgroup of elements fixed by a Cartan-Chevalley involution of G. We con…
Generalized spin representations. Part 2: Cartan-Bott periodicity for the split real En series
Max Horn, Ralf Köhl
In this article we analyze the quotients of the maximal compact subalgebras of the split real Kac-Moody algebras of the En series resulting from the generalized spin representation…
Second cohomology of Lie rings and the Schur multiplier
Max Horn, Seiran Zandi
We exhibit an explicit construction for the second cohomology group for a Lie ring and a trivial -module . We show how the elements of correspond…
The construction of finite solvable groups revisited
Bettina Eick, Max Horn
We describe a new approach towards the systematic construction of finite groups up to isomorphism. This approach yields a practical algorithm for the construction of finite solvabl…
Lie algebras and 3-transpositions
H. Cuypers, M. Horn, J. in 't panhuis +1
We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie alge…
Abstract involutions of algebraic groups and of Kac-Moody groups
Ralf Köhl, Max Horn, Bernhard Muhlherr
Based on the second author's thesis in this article we provide a uniform treatment of abstract involutions of algebraic groups and of Kac-Moody groups using twin buildings, RGD sys…
Iwasawa decompositions of split Kac-Moody groups
Tom De Medts, Ralf Köhl, Max Horn
We characterize all fields F for which a group with an F-locally split root group datum admits an Iwasawa decomposition. This class of groups in particular includes the split semis…
Intransitive geometries and fused amalgams
Ralf Köhl, Max Horn, Antonio Pasini +1
We study geometries that arise from the natural action on the geometry of one-dimensional subspaces, of nonsingular two-dimensional subspaces, and of nonsingular three-dim…