The completion of the classification of the finite dense near \(2d\)-gons, \(d \in \{3,4\}\), with four points on each line. (English) Zbl 1515.51008
Reviewer: Jan De Beule (Brussel)
Found 46 Documents (Results 1–46)
The hyperplanes of the near hexagon related to the extended ternary Golay code. (English) Zbl 1460.51003
Reviewer: Norbert Knarr (Stuttgart)
Existence of non-abelian representations of the near hexagon \(Q(5,2)\otimes Q(5,2)\). (English) Zbl 1336.05027
MSC:
05B25
The use of valuations for classifying point-line geometries. (English) Zbl 1338.51005
Narasimha Sastry, N.S. (ed.), Groups of exceptional type, Coxeter groups and related geometries. Invited articles based on the presentations at the international conference on “Groups and geometries”, Bangalore, India, December 10–21, 2012. New Delhi: Springer (ISBN 978-81-322-1813-5/hbk; 978-81-322-1814-2/ebook). Springer Proceedings in Mathematics & Statistics 82, 27-40 (2014).
Isometric embeddings between the near polygons \(\mathbb{H}_n\) and \(\mathbb{G}_n\). (English) Zbl 1295.05072
Isometric embeddings of the near polygons \(\mathbb H_n\) and \(\mathbb G_n\) into dual polar spaces. (English) Zbl 1284.51004
MSC:
51A45
A decomposition of the universal embedding space for the near polygon \({{\mathbb H}_n}\). (English) Zbl 1244.51002
Reviewer: Rolf Riesinger (Wien)
On the universal embedding of the near hexagon related to the extended ternary Golay code. (English) Zbl 1237.05031
MSC:
05B25
On invariant notions of Segre varieties in binary projective spaces. (English) Zbl 1242.05046
Reviewer: Steven T. Dougherty (Scranton)
Non-Abelian representations of the slim dense near hexagons on 81 and 243 points. (English) Zbl 1209.51002
Reviewer: Steven T. Dougherty (Scranton)
MSC:
51E14
On hyperovals of polar spaces. (English) Zbl 1204.51006
Reviewer: Alexandre A. Makhnev (Ekaterinburg)
MSC:
51A50
The valuations of the near octagon \(\mathbb G_4\). (English) Zbl 1200.51005
Reviewer: L. -c. Chen
MSC:
51E12
Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\). (English) Zbl 1185.51008
Reviewer: Theo Grundhöfer (Würzburg)
On the order of a non-abelian representation group of a slim dense near hexagon. (English) Zbl 1226.05269
The hyperplanes of the near hexagon on the 2-factors of the complete graph \(K_8\). (English) Zbl 1178.05079
Reviewer: Vito Napolitano (Napoli)
A recursive construction for the dual polar spaces \(DQ(2n,2)\). (English) Zbl 1160.51005
Reviewer: József Szilasi (Debrecen)
MSC:
51A50
New constructions of two slim dense near hexagons. (English) Zbl 1155.51003
Reviewer: József Szilasi (Debrecen)
MSC:
51E12
Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding. (English) Zbl 1160.51003
Reviewer: Norbert Knarr (Gießen)
The hyperplanes of \(DH(5, q^{2})\). (English) Zbl 1158.51002
Reviewer: Süleyman Çiftçi (Bursa)
The structure of the spin-embeddings of dual polar spaces and related geometries. (English) Zbl 1146.51003
Reviewer: Richard Bödi (Rüschlikon)
MSC:
51A50
The valuations of the near octagon \({\mathbb{H}}_4\). (English) Zbl 1146.51004
Reviewer: Theo Grundhöfer (Würzburg)
The generating rank of the \(U_{4}(3)\) near hexagon. (English) Zbl 1128.51001
Reviewer: Richard Bödi (Rüschlikon)
The exceptional hyperplanes of \(DH(5,4)\). (English) Zbl 1132.51004
Reviewer: Pavel Burda (Ostrava)
A general theory for dense near polygons with a nice chain of subpolygons. (English) Zbl 1132.51003
Reviewer: Pavel Burda (Ostrava)
The classification of the slim dense near octagons. (English) Zbl 1107.05019
Reviewer: Richard Bödi (Rüschlikon)
Distance-\(j\)-ovoids in regular near \(2 d\)-gons. (English) Zbl 1103.51004
Reviewer: Erhard Quaisser (Potsdam)
Valuations and hyperplanes of dual polar spaces. (English) Zbl 1085.51006
Reviewer: Helmut Mäurer (Darmstadt)
Slim near polygons. (English) Zbl 1142.05310
Near polygons with a nice chain of sub-near polygons. (English) Zbl 1061.51002
Reviewer: Alexandre A. Makhnev (Ekaterinburg)
MSC:
51E12
On the finiteness of near polygons with 3 points on every line. (English) Zbl 1034.51002
Reviewer: Johannes Ueberberg (St. Augustin)
MSC:
51E12
Two conjectures regarding dense near polygons with three points on each line. (English) Zbl 1030.51004
Reviewer: Alexandre A.Makhnev (Ekaterinburg)
MSC:
51E12
Characterizations of near hexagons by means of one local space. (English) Zbl 1029.51006
Reviewer: Razvan Litcanu (Lille)
MSC:
51E12
On the uniqueness of near polygons with three points on every line. (English) Zbl 1025.51015
Reviewer: H.Van Maldeghem (Gent)
MSC:
51E26
On the generation of some embeddable GF(2) geometries. (English) Zbl 0979.51002
Reviewer: Bart De Bruyn (Gent)
On near hexagons and spreads of generalized quadrangles. (English) Zbl 0961.51004
Reviewer: Leo Storme (Gent)
Extending polar spaces of rank at least 3. (English) Zbl 0845.51004
Reviewer: J.Libicher (Ostrava)
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