| Title:
|
Sofic groups are not locally embeddable into finite Moufang loops (English) |
| Author:
|
Ghumashyan, Heghine |
| Author:
|
Guričan, Jaroslav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
11-18 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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). (English) |
| Keyword:
|
group |
| Keyword:
|
diassociative IP loop |
| Keyword:
|
Moufang loop |
| Keyword:
|
finite embeddability property |
| Keyword:
|
local embeddability |
| MSC:
|
05B15 |
| MSC:
|
05C25 |
| MSC:
|
20E25 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 07547238 |
| idMR:
|
MR4387465 |
| DOI:
|
10.21136/MB.2021.0065-20 |
| . |
| Date available:
|
2022-04-17T18:06:29Z |
| Last updated:
|
2022-09-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149595 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
