This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4.
| Published in |
American Journal of Modern Physics (Volume 4, Issue 5-1)
This article belongs to the Special Issue Issue I: Foundations of Hadronic Mathematics |
| DOI | 10.11648/j.ajmp.s.2015040501.16 |
| Page(s) | 47-51 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2015. Published by Science Publishing Group |
Partial Group, Isotopism, Classification
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| [3] | R. M. Santilli, “On a possible Lie-admissible covering of the Galilei Relativity in Newtonian Mechanics for nonconservative and Galilei noninvariant systems,” Hadronic J. 1, pp. 223-423, 1978. Addendum, ibid 1, pp. 1279-1342, 1978. |
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| [9] | R. M. Falcón, J. Núñez and A. Aversa, “Mathematical foundations of Santilli isotopies,” Algebras, Groups and Geometries 32, pp. 135-308, 2015. |
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| [11] | R. M. Falcón and J. Núñez, “Partial Latin squares having a Santilli's autotopism in their autotopism groups,” J. Dyn. Syst. Geom. Theor. 5:1, pp. 19-32, 2007. |
| [12] | B. A. Hausmann and O. Ore, “Theory of Quasi-Groups,” Amer. J. Math. 59:4, pp. 983–1004, 1937. |
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| [16] | B. D. McKay, A. Meynert, and W. Myrvold, “Small Latin squares, quasigroups, and loops,” J. Combin. Des. 15, pp. 98–119, 2007. |
| [17] | A. Hulpke, P. Kaski, and P. R. J. Östergard, “The number of Latin squares of order 11,” Math. Comp. 80, pp. 1197–1219, 2011. |
| [18] | R. M. Falcón, “The set of autotopisms of partial Latin squares”, Discrete Math. 313: 11, pp. 1150–1161, 2013. |
| [19] | R. M. Falcón, “Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method”, European J. Combin. 48, pp. 215–223, 2015. |
APA Style
Raúl M. Falcón, Juan Núñez. (2015). Santilli Autotopisms of Partial Groups. American Journal of Modern Physics, 4(5-1), 47-51. https://doi.org/10.11648/j.ajmp.s.2015040501.16
ACS Style
Raúl M. Falcón; Juan Núñez. Santilli Autotopisms of Partial Groups. Am. J. Mod. Phys. 2015, 4(5-1), 47-51. doi: 10.11648/j.ajmp.s.2015040501.16
AMA Style
Raúl M. Falcón, Juan Núñez. Santilli Autotopisms of Partial Groups. Am J Mod Phys. 2015;4(5-1):47-51. doi: 10.11648/j.ajmp.s.2015040501.16
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Download@article{10.11648/j.ajmp.s.2015040501.16,
author = {Raúl M. Falcón and Juan Núñez},
title = {Santilli Autotopisms of Partial Groups},
journal = {American Journal of Modern Physics},
volume = {4},
number = {5-1},
pages = {47-51},
doi = {10.11648/j.ajmp.s.2015040501.16},
url = {https://doi.org/10.11648/j.ajmp.s.2015040501.16},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.s.2015040501.16},
abstract = {This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4.},
year = {2015}
}
TY - JOUR T1 - Santilli Autotopisms of Partial Groups AU - Raúl M. Falcón AU - Juan Núñez Y1 - 2015/08/11 PY - 2015 N1 - https://doi.org/10.11648/j.ajmp.s.2015040501.16 DO - 10.11648/j.ajmp.s.2015040501.16 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 47 EP - 51 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.s.2015040501.16 AB - This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4. VL - 4 IS - 5-1 ER -
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