A class of locally partial geometries (L.pGs for short) is constructed where both linear spaces and generalized quadrangles occur as point-residues. We conjecture that this class gives all possible example of L.pGs with that anomaly. We prove this conjecture when plane-residues are projective planes (see section 5). In the general case, we are able to prove the conjecture when there is at least one point with a linear residue, satisfying an additional assumption. © 1992, Elsevier B.V. All rights reserved.
DEL FRA, A., Ghinelli, D., Pasini, A. (1992). Locally partial geometries with different types of residues, 52(C), 127-138 [10.1016/S0167-5060(08)70909-9].
Locally partial geometries with different types of residues
PASINI A.
1992-01-01
Abstract
A class of locally partial geometries (L.pGs for short) is constructed where both linear spaces and generalized quadrangles occur as point-residues. We conjecture that this class gives all possible example of L.pGs with that anomaly. We prove this conjecture when plane-residues are projective planes (see section 5). In the general case, we are able to prove the conjecture when there is at least one point with a linear residue, satisfying an additional assumption. © 1992, Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/7039
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