Assume GL(n,q) is the general linear group of nxn matrices with entries in the finite field with q elements. Define a Singer Cycle to be an element of GL(n,q) of order (q^n)-1. How can we show that such an element always exists? That is, for all n and q.(adsbygoogle = window.adsbygoogle || []).push({});

Thanx in advance.

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# Singer Cycles

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