English

On a space related to the affine building of type E7

Group Theory 2007-11-30 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0711.4766,
  title  = {On a space related to the affine building of type E7},
  author = {Silvia Onofrei},
  journal= {arXiv preprint arXiv:0711.4766},
  year   = {2007}
}

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17 pages