Geodesic
Finite regular hyperbolic planes and nilpotent groups with 8 generators
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 15-25 Cet article a éte moissonné depuis la source Math-Net.Ru

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Regular finite hyperbolic plane are obtained for nilpotent groups of step 2 and simple period. Four nonisomorphic $\langle3,4\rangle$-plane are constructed. These planes are not Desargues. 
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A. I. Dolgarew. Finite regular hyperbolic planes and nilpotent groups with 8 generators. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 15-25. http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a1/

[1] Kartesi F., Vvedenie v konechnye geometrii, Nauka, M., 1980, 320 pp. | MR

[2] Dolgarev A. I., “Tablitsy svyazei grupp prostoi eksponenty stupeni 2 i regulyarnye giperbolicheskie $\langle3,4\rangle$-ploskosti”, Problemy teoreticheskoi kibernetiki, Tezisy dokl. XIV Mezhdunar. konf. (Penza, 23–28 maya 2005 g.), Izd-vo MGU, M., 2005, 43

[3] Dolgarev A. I., “Gruppy prostoi eksponenty stupeni 2 s 8 obrazuyuschimi i latinskie kvadraty”, Izv. vuzov. Matematika, 2005, no. 9, 8–18 | MR

[4] Dolgarev A. I., “Konechnye odulyarnye ploskosti i modulyarnye reshetki”, Tezisy dokl. Mezhdunar. konf. po algebre pamyati A. I. Shirshova (Barnaul, 20–25 avg. 1991 g.), Novosibirsk, 1991, 38

[5] Dolgarev A. I., “Ploskost gruppy prostoi eksponenty”, Matematika i informatika, Mezhvuzovskii sb., PGPU, Penza, 1996, 3–12