Fuchs' problem for dihedral groups

The local lifting problem for dihedral groups

Let G = Dp be the dihedral group of order 2p, where p is an odd prime. Let k an algebraically closed field of characteristic p. We show that any action of G on the ring k[[y]] can be lifted to an action on R[[y]], where R is some complete discrete valuation ring with residue field k and fraction field of characteristic 0. 2000 Mathematics subject Classification. Primary 14H37. Secondary: 11G20,...

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...