On a space related to the affine building of type E7

Details On a space related to the affine building of type E7 On a space related to the affine building of type E7

2007-11-29

arxiv.org/abs/0711.4766v1

Mathematics

Group Theory

17 pages

Scientific paper

A locally truncated geometry with diagram of type affine E7 is studied. One considers a parapolar space, locally of type A_{7,4}, which is subject to an extra axiom. A covering of this space is constructed; it is proved that this covering space is a rank 6, residually connected, locally truncated diagram geometry which is a homomorphic image of a truncated building of affine type E7. Consequently, the initial parapolar space is also a homomorphic image of a truncated building.

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