Abstract
We shall show that an element in the cohomology ring of a defect group of a block ideal of the group algebra over an algebraically closed field of prime characteristic belongs to the cohomology ring of the block ideal if and only if its embedding into the Hochschild cohomology ring of the group algebra of the defect group is stable with respect to the source algebra of the block ideal.
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This work was supported by Japan Society for the Promotion of Science Grant-in-Aid for Scientific Research (C) (22540013).
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Sasaki, H. Cohomology of Block Ideals of Finite Group Algebras and Stable Elements. Algebr Represent Theor 16, 1039–1049 (2013). https://doi.org/10.1007/s10468-012-9345-3
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DOI: https://doi.org/10.1007/s10468-012-9345-3