The hochschild cohomology ring of a cyclic block Academic Article uri icon


  • Suppose B is a block of a group algebra kG with cyclic defect group. We calculate the Hochschild cohomology ring of B, giving a complete set of generators and relations. We then show that if D is the principal block, the canonical map from H*(G, k) to the Hochschild cohomology ring of B induces an isomorphism modulo radicals. 2000 American Mathematical Society.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Siegel, S. F., & Witherspoon, S. J.

complete list of authors

  • Siegel, SF||Witherspoon, SJ

publication date

  • December 2000