On centerless commutative automorphic loops

Gábor P. Nagy

Commentationes Mathematicae Universitatis Carolinae (2014)

  • Volume: 55, Issue: 4, page 485-491
  • ISSN: 0010-2628

Abstract

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In this short paper, we survey the results on commutative automorphic loops and give a new construction method. Using this method, we present new classes of commutative automorphic loops of exponent 2 with trivial center.

How to cite

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Nagy, Gábor P.. "On centerless commutative automorphic loops." Commentationes Mathematicae Universitatis Carolinae 55.4 (2014): 485-491. <http://eudml.org/doc/262000>.

@article{Nagy2014,
abstract = {In this short paper, we survey the results on commutative automorphic loops and give a new construction method. Using this method, we present new classes of commutative automorphic loops of exponent $2$ with trivial center.},
author = {Nagy, Gábor P.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {commutative automorphic loop; Lie algebra of characteristic $2$; nuclear extension; commutative automorphic loops; Lie rings; Lie algebras of characteristic 2; nuclear extensions},
language = {eng},
number = {4},
pages = {485-491},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On centerless commutative automorphic loops},
url = {http://eudml.org/doc/262000},
volume = {55},
year = {2014},
}

TY - JOUR
AU - Nagy, Gábor P.
TI - On centerless commutative automorphic loops
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2014
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 55
IS - 4
SP - 485
EP - 491
AB - In this short paper, we survey the results on commutative automorphic loops and give a new construction method. Using this method, we present new classes of commutative automorphic loops of exponent $2$ with trivial center.
LA - eng
KW - commutative automorphic loop; Lie algebra of characteristic $2$; nuclear extension; commutative automorphic loops; Lie rings; Lie algebras of characteristic 2; nuclear extensions
UR - http://eudml.org/doc/262000
ER -

References

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  9. Jedlička P., Kinyon M., Vojtěchovský P., 10.1090/S0002-9947-2010-05088-3, Trans. Amer. Math. Soc. 363 (2011), no. 1, 365–384. Zbl1215.20060MR2719686DOI10.1090/S0002-9947-2010-05088-3
  10. Jedlička P., Kinyon M., Vojtěchovský P., 10.1016/j.jalgebra.2011.09.034, J. Algebra 350 (2012), 64–76. DOI10.1016/j.jalgebra.2011.09.034
  11. Johnson K.W., Kinyon M.K., Nagy G.P., Vojtěchovský P., 10.1112/S1461157010000173, LMS J. Comput. Math. 14 (2011), 200–213. Zbl1225.20052MR2831230DOI10.1112/S1461157010000173
  12. Kinyon M., Grishkov A., Nagy G.P., Solvability of commutative automorphic loops, Trans. Amer. Math. Soc., to appear, arXiv:1111.7138. MR3223359
  13. Kinyon M., Kunen K., Phillips J.D., Vojtěchovský P., The structure of automorphic loops, in preparation, arXiv:1210.1642. 

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