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Abstract
The purpose of this note is to provide a reference for the fact that the strong Frobenius number, in the sense of Eaton and Livesey, of a block of a finite group with a cyclic defect group is equal to 1. This answers a question of Farrell and Kessar.
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Acknowledgment
The author would like to thank the referee for their comments and queries.
Additional information
Funding
This material is based upon work supported by the National Science Foundation under Grant No. DMS-1440140 while the author was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2018 semester. In addition, the author would like to acknowledge support from EPSRC under the grant EP/M02525X/1.