On blocks with cyclic defect group and their head orders

Mathematics – Representation Theory

Scientific paper

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Scientific paper

It is shown that Section 8 of Plesken's 1983 lecture notes describes blocks
of cyclic defect group up to Morita equivalence. In particular such a block is
determined by its planar embedded Brauer tree. Applying the radical idealizer
process, the head order of such blocks is calculated explicitly.

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