Abstract
We derive presentations for Moufang loops of type M 2n(G, 2), defined by Chein, with G finite, two-generated. We then use G = S 3 to visualize the smallest non-associative Moufang loop.
Similar content being viewed by others
References
O. Chein, Moufang Loops of Small Order I, Trans. Amer. Math. Soc. 188 (1974), 31–51.
O. Chein, Moufang Loops of Small Order, Memoirs of the American Mathematical Society, Volume 13, Issue 1, Number 197 (1978).
O. Chein, H. O. Pflugfelder, The smallest Moufang loop, Arch. Math. 22 (1971), 573–576.
K. Kunen, Moufang Quasigroups, J. Algebra 183 (1996), no 1, 231–234.
H. O. Pflugfelder, Quasigroups and Loops: Introduction, (Sigma series in pure mathematics; 7), Heldermann Verlag Berlin (1990).
Author information
Authors and Affiliations
Corresponding author
Additional information
Work partially supported by Grant Agency of Charles University, grant number 269/2001/B-MAT/MFF.
Rights and permissions
About this article
Cite this article
Vojtěchovský, P. The smallest moufang loop revisited. Results. Math. 44, 189–193 (2003). https://doi.org/10.1007/BF03322924
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03322924