A normal integral basis theorem for 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

A finite basis theorem for product varieties of groups

It is shown that, if IJ is a subvariety of the join of a nilpotent variety and a metabelian variety and if V̂ is a variety with a finite basis for its laws, then UV also has a finite basis for its laws. The special cases IJ nilpotent and IJ metabelian have been established by Higman (1959) and Ivanjuta (1969) respectively. The proof here, which is independent of Ivanjuta's, depends on a rather g...

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...