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Weighted projective plane of 16th order and totally symetrical (2,16-1): Multiquasi group
University of Priština - Kosovska Mitrovica, Faculty of Teacher Education, Prizren-Leposavić

emailalija.mandak@pr.ac.rs
Keywords: projective plane; group; co lineation; orbit
Abstract
The paper introduces the notion of weighted projective plane which is generalization of a common projective plane and it is proved that the group Frobenius of order 34 effects projective plane R of order 16 as a group of colineation.By using these effects plane R can be constructed . a weighted projective plane R’ order 16 is equivalent to totally symetrical (2-16-1)-multiquasigroup.
References
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Čupona, G.T., Stojaković, Z., Ušan, J. (1980) Multiquasigroups and some related structures. Prilozi MANU, I/1
Dimovski, D., Mandak, A. (1992) Incidence structures with n-metrics. Zb. Rad. Fil. Fak., Niš, 6, str. 151-155
Dimovski, D., Mandak, A. (1999) Weighted block designs and Steiner systems. Journal of Mathematics, Novi Sad, vol. 29, br. 2, 163-169
Lenz, H. (1965) Vorlesungen uber projective geometrije. Leipzig: Akademische Verlagsgesellschaft
Mandak, A. (2012) On weighted block designs. in: Proc. The Second Math Conf. of Republik of Srpska, Trebinje, 57-63
Mandak, A. (2007) Multiquasigroups and weighted projective planes. Kragujevac Journal of Mathematics, br. 30, str. 211-219
Ušan, J. (1989) -seti s (n + 1)-rastojaniem. Rew. Res. Fac. Sci. Univ. Novi Sad Ser. Math, 17 (2); 65-87
 

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article language: Serbian
document type: unclassified
DOI: 10.5937/zrufpl1509195M
published in SCIndeks: 12/03/2016

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