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Relative local control and the block source algebras

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Abstract

The local control of pointed groups is generalized to the concept of relative local control, and it is proved that there exists a lifting for a covering of a block source algebra if the relative local control holds. As an application, a result is proved on the source algebras of blocks, whose defect groups are direct products of a normal subgroup and a subgroup that gives a relative local control.

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Authors and Affiliations

  1. Department of Mathematics, Wuhan University, 430072, Wuhan, China

    Yun Fan

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  1. Yun Fan
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Project supported by the National Natural Science Foundation of China.

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Fan, Y. Relative local control and the block source algebras. Sci. China Ser. A-Math. 40, 785–798 (1997). https://doi.org/10.1007/BF02878917

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  • DOI: https://doi.org/10.1007/BF02878917

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