Geodesic
Sofic groups are not locally embeddable into finite Moufang loops
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 11-18.

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We shall show that there exist sofic groups which are not locally embeddable into finite Moufang loops. These groups serve as counterexamples to a problem and two conjectures formulated in the paper by M. Vodička, P. Zlatoš (2019).
DOI : 10.21136/MB.2021.0065-20
Classification : 05B15, 05C25, 20E25, 20N05
Keywords: group; diassociative IP loop; Moufang loop; finite embeddability property; local embeddability 
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Ghumashyan, Heghine; Guričan, Jaroslav. Sofic groups are not locally embeddable into finite Moufang loops. Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 11-18. doi : 10.21136/MB.2021.0065-20. http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0065-20/

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