Now showing items 1-5 of 5

    • Cohomology of infinite groups realizing fusion systems 

      Gündoğan, Muhammed Said (Bilkent University, 2019-09)
      Given a fusion system F defined on a p-group S, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize F. We study these models when F is a fusion system of a finite group G. If ...
    • Cohomology of infinite groups realizing fusion systems 

      Gündoğan, Muhammed Said; Yalçın, Ergün (Springer, 2019-06-07)
      Given a fusion system FF defined on a p-group S, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize FF. We study these models when FF is a fusion system of a finite group G and ...
    • Generalized Burnside rings and group cohomology 

      Hartmann, R.; Yalçın, E. (Academic Press, 2007-04-15)
      We define the cohomological Burnside ring B n (G, M) of a finite group G with coefficients in a Z G-module M as the Grothendieck ring of the isomorphism classes of pairs [X, u] where X is a G-set and u is a cohomology class ...
    • A note on Serre ' s theorem in group cohomology 

      Yalçin, E. (American Mathematical Society, 2008)
      In 1987, Serre proved that if G is a p-group which is not elementary abelian, then a product of Bocksteins of one dimensional classes is zero in the mod p cohomology algebra of G, provided that the product includes at least ...
    • On nilpotent ideals in the cohomology ring of a finite group 

      Pakianathan, J.; Yalçin, E. (2003)
      In this paper we find upper bounds for the nilpotency degree of some ideals in the cohomology ring of a finite group by studying fixed point free actions of the group on suitable spaces. The ideals we study are the kernels ...