On $p$-schemes of order $p^3$

Details On $p$-schemes of order $p^3$ On $p$-schemes of order $p^3$

2012-03-08

arxiv.org/abs/1203.1678v1

Mathematics

Combinatorics

Scientific paper

Let $(X,S)$ be a $p$-scheme of order $p^3$ and $T$ the thin residue of $S$. Now we assume that $T$ has valency $p^2$. It is easy to see that one of the following holds: (i) $|T|=p^2$ and $T\simeq C_{p^2}$; (ii) $|T|=p^2$ and $T\simeq C_p\times C_p$; (iii) $|T|

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