Sofic groups are not locally embeddable into finite Moufang loops
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 11-18
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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).
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
Keywords: group; diassociative IP loop; Moufang loop; finite embeddability property; local embeddability
@article{10_21136_MB_2021_0065_20,
author = {Ghumashyan, Heghine and Guri\v{c}an, Jaroslav},
title = {Sofic groups are not locally embeddable into finite {Moufang} loops},
journal = {Mathematica Bohemica},
pages = {11--18},
year = {2022},
volume = {147},
number = {1},
doi = {10.21136/MB.2021.0065-20},
mrnumber = {4387465},
zbl = {07547238},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0065-20/}
}
TY - JOUR AU - Ghumashyan, Heghine AU - Guričan, Jaroslav TI - Sofic groups are not locally embeddable into finite Moufang loops JO - Mathematica Bohemica PY - 2022 SP - 11 EP - 18 VL - 147 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0065-20/ DO - 10.21136/MB.2021.0065-20 LA - en ID - 10_21136_MB_2021_0065_20 ER -
%0 Journal Article %A Ghumashyan, Heghine %A Guričan, Jaroslav %T Sofic groups are not locally embeddable into finite Moufang loops %J Mathematica Bohemica %D 2022 %P 11-18 %V 147 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0065-20/ %R 10.21136/MB.2021.0065-20 %G en %F 10_21136_MB_2021_0065_20
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
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