We characterize C-2.c-geometries that are truncations of almost-thin C-n-geometries and C-2.c-geometries covered by truncated almost-thin buildings of type C-n. Then we show how to profit from those characterizations in the investigation of a number of special cases. The proof of our main theorem is a rearrangement of the proof of a theorem by Brouwer on rectagraphs. A generalization of Brouwer's theorem is also given. (C) 1998 Academic Press Limited.
Pasini, A. (1998). Parallelisms and cubes in C2.c-geometries. EUROPEAN JOURNAL OF COMBINATORICS, 19(2), 183-213 [10.1006/eujc.1997.0170].
Parallelisms and cubes in C2.c-geometries
PASINI A.
1998-01-01
Abstract
We characterize C-2.c-geometries that are truncations of almost-thin C-n-geometries and C-2.c-geometries covered by truncated almost-thin buildings of type C-n. Then we show how to profit from those characterizations in the investigation of a number of special cases. The proof of our main theorem is a rearrangement of the proof of a theorem by Brouwer on rectagraphs. A generalization of Brouwer's theorem is also given. (C) 1998 Academic Press Limited.
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https://hdl.handle.net/11365/7076
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