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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 1, Pages 66–78 (Mi smj2513)  
On automatic presentations of projective planes

A. S. Denisenkoab, N. T. Kogabaevab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: We study automatic presentations of projective planes and prove that no freely generated projective plane has any automatic presentations. Every desarguesian (pappian) projective plane is shown to be automatically presentable if and only if it is finite.
Keywords: automatic model, automatic presentation, projective plane, freely generated projective plane, desarguesian projective plane, pappian projective plane.
Received: 29.08.2012
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 1, Pages 53–62
DOI: https://doi.org/10.1134/S0037446614010078
Bibliographic databases:
Document Type: Article
UDC: 510.53+514.146
Language: Russian
Citation: A. S. Denisenko, N. T. Kogabaev, “On automatic presentations of projective planes”, Sibirsk. Mat. Zh., 55:1 (2014), 66–78; Siberian Math. J., 55:1 (2014), 53–62
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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