Now showing items 1-8 of 8

    • Borel-Smith functions and the Dade group 

      Bouc, S.; Yalçın, E. (Academic Press, 2007)
      We show that there is an exact sequence of biset functors over p-groups0 → Cb over(→, j) B* over(→, Ψ) DΩ → 0 where Cb is the biset functor for the group of Borel-Smith functions, B* is the dual of the Burnside ring functor, ...
    • Canonical induction, Green functors, lefschetz invariant of monomial G-posets 

      Mutlu, Hatice (Bilkent University, 2019-06)
      Green functors are a kind of group functor, rather like Mackey functors, but with a further multiplicative structure. They are defined on a category whose objects are finite groups and whose morphisms are generated by ...
    • Monoid actions, their categorification and applications 

      Erdal, Mehmet Akif (Bilkent University, 2017-01)
      We study actions of monoids and monoidal categories, and their relations with (co)homology theories. We start by discussing actions of monoids via bi-actions. We show that there is a well-defined functorial reverse action ...
    • On the basis of the burnside ring of a fusion system 

      Gelvin, M.; Reeh, S.P.; Yalçın, E. (Elsevier, 2015)
      We consider the Burnside ring A(F) of F-stable S-sets for a saturated fusion system F defined on a p-group S. It is shown by S.P. Reeh that the monoid of F-stable sets is a free commutative monoid with canonical basis {αP}. ...
    • On the exponential map of the Burnside ring 

      Yaman, Ayşe (Bilkent University, 2002)
      We study the exponential map of the Burnside ring. We prove the equivalence of the three different characterizations of this map and examine the surjectivity in order to describe the elements of the unit group of the ...
    • Rhetorical biset functors, rational p-biset functors and their semisimplicity in characteristic zero 

      Barker L. (Academic Press, 2008)
      Rhetorical biset functors can be defined for any family of finite groups that is closed under subquotients up to isomorphism. The rhetorical p-biset functors almost coincide with the rational p-biset functors. We show that, ...
    • Semigroup actions on sets and the burnside ring 

      Erdal, M. A.; Ünlü, Ö. (Springer Science, 2018)
      In this paper we discuss some enlargements of the category of sets with semigroup actions and equivariant functions. We show that these enlarged categories possess two idempotent endofunctors. In the case of groups these ...
    • Tornehave morphisms III: the reduced Tornehave morphism and the Burnside unit functor 

      Barker, L. (Elsevier, 2016)
      We shall show that a morphism anticipated by Tornehave induces (and helps to explain) Bouc's isomorphism relating a quotient of the Burnside unit functor (measuring a difference between real and rational representations ...