Inductions, restrictions, evaluations, and sunfunctors of Mackey functors
AdvisorBarker, Laurence J.
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Green’s indecomposibility theorem
fixed point functor
functors for p-groups
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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 ...