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On blocks with cyclic defect group and their head orders

Gabriele Nebe
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Abstract

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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Gabriele Nebe. 2003-11-04. On blocks with cyclic defect group and their head orders. https://arxiv.org/abs/math/0311044

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