On Tits Buildings of Type $A_n$

Details On Tits Buildings of Type $A_n$ On Tits Buildings of Type $A_n$

2003-11-26

arxiv.org/abs/math/0311479v1

Mathematics

Group Theory

Scientific paper

Let $P$ and $P'$ be projective spaces having the same dimension $n$ assumed
to be finite. Let $\Delta$ and $\Delta'$ be buildings of type $A_n$. We
consider mappings of chambers of $\Delta$ into chambers of $\Delta'$ which send
appartments to appartments. It is shown that shuch mappings are induced by
strong embeddings of $P$ into $P'$ or into the dual space $P^{'*}$.

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