Sofic groups are not locally embeddable into finite Moufang loops

Heghine Ghumashyan; Jaroslav Guričan

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 1, page 11-18
  • ISSN: 0862-7959

Abstract

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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).

How to cite

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Ghumashyan, Heghine, and Guričan, Jaroslav. "Sofic groups are not locally embeddable into finite Moufang loops." Mathematica Bohemica 147.1 (2022): 11-18. <http://eudml.org/doc/298258>.

@article{Ghumashyan2022,
abstract = {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).},
author = {Ghumashyan, Heghine, Guričan, Jaroslav},
journal = {Mathematica Bohemica},
keywords = {group; diassociative IP loop; Moufang loop; finite embeddability property; local embeddability},
language = {eng},
number = {1},
pages = {11-18},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Sofic groups are not locally embeddable into finite Moufang loops},
url = {http://eudml.org/doc/298258},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Ghumashyan, Heghine
AU - Guričan, Jaroslav
TI - Sofic groups are not locally embeddable into finite Moufang loops
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 1
SP - 11
EP - 18
AB - 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).
LA - eng
KW - group; diassociative IP loop; Moufang loop; finite embeddability property; local embeddability
UR - http://eudml.org/doc/298258
ER -

References

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