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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 2, Pages 15–25
(Mi vmj381)
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Finite regular hyperbolic planes and nilpotent groups with 8 generators
A. I. Dolgarew Penza State University, Penza, Russia
Abstract:
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.
Key words:
nonisomorphic finite regular hyperbolic plane, not Desargues plane.
Received: 17.11.2009
Citation:
A. I. Dolgarew, “Finite regular hyperbolic planes and nilpotent groups with 8 generators”, Vladikavkaz. Mat. Zh., 13:2 (2011), 15–25
Linking options:
https://www.mathnet.ru/eng/vmj381 https://www.mathnet.ru/eng/vmj/v13/i2/p15
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Statistics & downloads: |
Abstract page: | 259 | Full-text PDF : | 74 | References: | 44 | First page: | 1 |
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