Inductions, restrictions, evaluations, and sunfunctors of Mackey functors
Author(s)
Advisor
Barker, Laurence J.Date
2008Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
155
views
views
48
downloads
downloads
Keywords
Mackey functorMackey algebra
simple
indecomposable
restriction
induction
evaluation
socle
radical
Clifford’s theorem
Green’s indecomposibility theorem
maximal subfunctor
Brauer quotient
minimal subfunctor
restriction kernel
primordial
coprimordial
uniserial
Burnside functor
socle series
radical series
composition series
composition factors
Loewy lenght
fixed point functor
functors for p-groups
Permalink
http://hdl.handle.net/11693/14715Collections
Related items
Showing items related by title, author, creator and subject.
-
Mackey functions, induction from restriction functors and coinduction from transfer functors
Coskun, O. (Academic Press, 2007-09-01)Boltje's plus constructions extend two well-known constructions on Mackey functors, the fixed-point functor and the fixed-quotient functor. In this paper, we show that the plus constructions are induction and coinduction ... -
Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules
Coşkun, Olcay (Elsevier Inc., 2008)The unified treatment of the five module-theoretic notions, transfer, inflation, transport of structure by an isomorphism, deflation and restriction, is given by the theory of biset functors, introduced by Bouc. In this ... -
Kernels, inflations, evaluations, and imprimitivity of Mackey functors
Yaraneri, E. (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 ...