Now showing items 1-7 of 7

• #### Canonical induction for trivial source rings ﻿

(Bilkent University, 2013)
We discuss the canonical induction formula for some special Mackey functors by following the construction of Boltje. These functors are the ordinary and modular character rings and the trivial source rings. Making use ...
• #### A correspondence of simple alcahestic group functors ﻿

(Bilkent University, 2008)
Representation theory of finite groups associates two classical constructions to a group G, namely the representation ring of G and the Burnside ring of G. These rings share a special structure that comes from three ...
• #### Green correspondence for Mackey functors ﻿

(Bilkent University, 2008)
The Green corespondence for modules of group algebras was introduced by Green in 1964. A version for Mackey functors was introduced by Sasaki in 1982. Sasaki’s characterization of Mackey functor correspondence was based ...
• #### Inductions, restrictions, evaluations, and sunfunctors of Mackey functors ﻿

(Bilkent University, 2008)
• #### Kernels, inflations, evaluations, and imprimitivity of Mackey functors ﻿

(Elsevier, 2008-03-01)
Let M be a Mackey functor for a finite group G. By the kernel of M we mean the largest normal subgroup N of G such that M can be inflated from a Mackey functor for G / N. We first study kernels of Mackey functors, and ...
• #### Socles and radicals of Mackey functors ﻿

(2009)
We study the socle and the radical of a Mackey functor M for a finite group G over a field K (usually, of characteristic p &gt; 0). For a subgroup H of G, we construct bijections between some classes of the simple subfunctors ...