Relative local control and the block source algebras |
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Authors: | Yun Fan |
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Institution: | (1) Department of Mathematics, Wuhan University, 430072 Wuhan, China |
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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.
Project supported by the National Natural Science Foundation of China. |
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Keywords: | finite group modular representation pointed group relative local control block source algebra |
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