| Title:
|
Infinite simple Bol loops (English) |
| Author:
|
Kiechle, Hubert |
| Author:
|
Kinyon, Michael K. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
275-278 |
| . |
| Category:
|
math |
| . |
| Summary:
|
If the left multiplication group of a loop is simple, then the loop is simple. We use this observation to give examples of infinite simple Bol loops. (English) |
| Keyword:
|
Bol loop |
| Keyword:
|
K-loop |
| Keyword:
|
Bruck loop |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 1101.20038 |
| idMR:
|
MR2075275 |
| . |
| Date available:
|
2009-05-05T16:45:02Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119456 |
| . |
| Reference:
|
[1] Aschbacher M., Kinyon M.K., Phillips J.D.: Finite Bruck loops.submitted. Available at http://www.arXiv.org/abs/math.GR/0401193. Zbl 1102.20046 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[5] Kiechle H.: Theory of K-loops.Lecture Notes in Math. 1778, Springer-Verlag, Berlin-Heidelberg-New York, 2002; MR 2003d:20109, Zbl. 0997.20059. Zbl 0997.20059, MR 1899153 |
| Reference:
|
[6] Nagy P.T., Strambach K.: Loops in Group Theory and Lie Theory.de Gruyter Expositions in Mathematics 35, Walter de Gruyter, Berlin-New York, 2003; MR 2003d:20110, Zbl. pre01732502. Zbl 1050.22001, MR 1899331 |
| Reference:
|
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| Reference:
|
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| . |
