[Turkmath:735] Gebze Technical University, Department of Mathematics Colloquium

[Elif Kayaalp]

Sayın Liste Üyeleri,

GTÜ Matematik Bölümü Seminerleri kapsamında, 6 Kasım Cuma günü saat 14.00'da Fatma ALTUNBULAK AKSU (Çankaya Üniversitesi) GTÜ Matematik Bölümü Seminer Odası'nda bir seminer verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.

Saygılarımızla,




Dear all,

There will be a seminar in Gebze Technical University (GTU) on 6th of November by Fatma ALTUNBULAK AKSU (CankayaUniversity).

Time and place: At 14.00 in Department of Mathematics, Building I, Auditorium.

Title: Ghost Number of Group Algebras

Abstract: A ghost in the stable module category of a finite group G is a map between modular representations of G, which induces a trivial map on Tate cohomology. The Fredy's generating hypothesis (GH) for the stable module category of G is the statement that all ghosts between finitely generated kG-modules factor through a projective kG-module. For most p-groups GH fails and the ghost number of the group algebra kG is defined as an invariant which measures the degree of the failure of GH. Christensen and Wang give conjectural upper and lower bounds for the ghost number of the group algebra of a p-group. We prove the conjecture for most p-groups. We also prove Wang's conjecture on the ghost number of the group algebra of the quaternion group of order eight. This is a joint work with David J. Green.
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