Non-induced modular representations of cyclic groups
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Peer-reviewed
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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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Communications in Algebra
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0092-7872
1532-4125
1532-4125
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Taylor and Francis
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Engineering and Physical Sciences Research Council (2114521)