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Non-induced modular representations of cyclic groups

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Peer-reviewed

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Article

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Abstract

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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Journal Title

Communications in Algebra

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Journal ISSN

0092-7872
1532-4125

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Publisher

Taylor and Francis

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Sponsorship
Engineering and Physical Sciences Research Council (2114521)