The Ring of Support-Classes of $\mathrm{SL}\_2(\mathbb F\_q)$

preprint2015arXivOpen access

We introduce and study a subring $\mathcal{SC}$ of $\mathbb Z[\mathrm{SL}\_2(\mathbb F\_q)]$ obtained by summing elements of $\mathrm{SL}\_2(\mathbb F\_q)$ according to their support. The ring $\mathcal SC$ can be used for the construction of several association schemes.

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The Ring of Support-Classes of $\mathrm{SL}\_2(\mathbb F\_q)$

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The Ring of Support-Classes of SL_2(F_q)\mathrm{SL}\_2(\mathbb F\_q)SL_2(F_q)

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The Ring of Support-Classes of $\mathrm{SL}\_2(\mathbb F\_q)$