13 citations · 49 across the 16 of their papers we have counts for
16 papers
Groups with anticentral elements
Frieder Ladisch
We study finite groups with elements such that . (Such elements generalize fixed-point-free automorphisms of finite group…
The character of the Weil representation of a finite abelian group of odd order
Frieder Ladisch
Let be a finite abelian group of odd order, equipped with a non-degenerate, alternating form . We give closed formulas for the cha…
Finding Supercharacter Theories on Character Tables
Frieder Ladisch
We describe an easy way how to find supercharacter theories for a finite group, if its character table is known. Namely, we show how an arbitrary partition of the conjugacy classes…
Non-commutative groups as prescribed polytopal symmetries
Alexandru Chirvasitu, Frieder Ladisch, Pablo Soberón
We study properties of the realizations of groups as the combinatorial automorphism group of a convex polytope. We show that for any non-abelian group with a central involution…
Lattices of finite abelian groups
Frieder Ladisch
We study certain lattices constructed from finite abelian groups. We show that such a lattice is eutactic, thereby confirming a conjecture by Böttcher, Eisenbarth, Fukshansky, Garc…
Equivalence of Lattice Orbit Polytopes
Frieder Ladisch, Achill Schürmann
Let be a finite permutation group acting on by permuting coordinates. A core point (for ) is an integral vector such that the convex hull…
A property of the Birkhoff polytope
Barbara Baumeister, Frieder Ladisch
The Birkhoff polytope is the convex hull of all permutation matrices in . We compute the combinatorial symmetry group of the Birkhoff poly…
Classification of Affine Symmetry Groups of Orbit Polytopes
Erik Friese, Frieder Ladisch
Let be a finite group acting linearly on a vector space . We consider the linear symmetry groups of orbits , where the \emph{linear sy…
Groups with a nontrivial nonideal kernel
Frieder Ladisch
We classify finite groups , such that the group algebra, (over the field of rational numbers ), is the direct product of the group algebra $\mathbb{Q}[…
Realizations of abstract regular polytopes from a representation theoretic view
Frieder Ladisch
Peter McMullen has developed a theory of realizations of abstract regular polytopes, and has shown that the realizations up to congruence form a pointed convex cone which is the di…
Affine Symmetries of Orbit Polytopes
Erik Friese, Frieder Ladisch
An orbit polytope is the convex hull of an orbit under a finite group . We develop a general theory of possible affine symmetry groups of or…
On Clifford theory with Galois action
Frieder Ladisch
Let be a finite group, a normal subgroup of and . Let be a subfield of the complex numbers and assume that t…
The Schur-Clifford subgroup of the Brauer-Clifford group
Frieder Ladisch
We define a Schur-Clifford subgroup of Turull's Brauer-Clifford group, similar to the Schur subgroup of the Brauer group. The Schur-Clifford subgroup contains exactly the equivalen…
Corestriction for algebras with group action
Frieder Ladisch
We define a corestriction map for equivariant Brauer groups in the sense of Fröhlich and Wall, which contain as a special case the Brauer-Clifford groups introduced by Turull. We s…
Character correspondences above fully ramified sections and Schur indices
Frieder Ladisch
Let N be a finite group of odd order and A a finite group that acts on N such that the orders of N and A are coprime. Isaacs constructed a natural correspondence between the set Ir…
Character correspondences induced by magic representations
Frieder Ladisch
Let G be a finite group, K a normal subgroup of G and H a subgroup such that G = HK, and set L = H \cap K. Suppose θ\in Irr K and ϕ\in Irr L, and ϕ occurs in θ_L with multiplicity…