Semi-magic Matrices for Dihedral Groups

GBRDs with Block Size Three over 2-Groups, Semi-Dihedral Groups and Nilpotent Groups

There are well known necessary conditions for the existence of a generalized Bhaskar Rao design over a group G, with block size k = 3. We prove that they are sufficient for nilpotent groups G of even order, and in particular for 2-groups. In addition, we prove that they are sufficient for semi-dihedral groups.

Affine buildings for dihedral groups

We construct rank 2 thick nondiscrete affine buildings associated with an arbitrary finite dihedral group.

Dihedral Groups

Soergel Diagrammatics for Dihedral Groups

Soergel Diagrammatics for Dihedral Groups

Springer Correspondences for Dihedral Groups

Recent work by a number of people has shown that complex reflection groups give rise to many representation-theoretic structures (e.g., generic degrees and families of characters), as though they were Weyl groups of algebraic groups. Conjecturally, these structures are actually describing the representation theory of as-yet undescribed objects called spetses, of which reductive algebraic groups...