| Title:
|
On finite loops and their inner mapping groups (English) |
| Author:
|
Niemenmaa, M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
341-347 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider finite loops and discuss the following problem: Which groups are (are not) isomorphic to inner mapping groups of loops? We recall some known results on this problem and as a new result we show that direct products of dihedral 2-groups and nontrivial cyclic groups of odd order are not isomorphic to inner mapping groups of finite loops. (English) |
| Keyword:
|
loop |
| Keyword:
|
group |
| Keyword:
|
connected transversals |
| MSC:
|
20D10 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 1101.20045 |
| idMR:
|
MR2075281 |
| . |
| Date available:
|
2009-05-05T16:45:35Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119462 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
[9] Niemenmaa M.: On the structure of the inner mapping groups of loops.Comm. Algebra 24 (1996), 135-142. Zbl 0853.20049, MR 1370527 |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| . |
