# Non-induced modular representations of cyclic groups

@inproceedings{Jolliffe2021NoninducedMR, title={Non-induced modular representations of cyclic groups}, author={Liam Jolliffe and Robert A. Spencer}, year={2021} }

We compute the ring of non-induced representations for a cyclic group, Cn, over an arbitrary field and show that it has rank φ(n), where φ is Euler’s totient function — independent of the characteristic of the field. Along the way, we obtain a “pick-a-number” trick; expressing an integer n as a sum of products of p-adic digits of related integers.

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