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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

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Torsion units of the ring $\mathbb{Z}[x]/(1+x+x^2+\cdots+x^{n-1})$

What are the torsion units of the ring $R_n:=\mathbb{Z}[x]/(1+x+x^2+\cdots+x^{n-1})$? Since $x^n = 1$ in $R_n$ it is clear that all elements of the form $\pm x^i$ are torsion units. Is this all of t …
Dave Karpuk's user avatar