| Title:
|
Infinite algebras with 3-transitive groups of weak automorphisms (English) |
| Author:
|
Szabó, László |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
245-256 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The infinite algebras with 3-transitive groups of weak automorphisms are investigated. Among others it is shown that if an infinite algebra with 3-transitive group of weak automorphisms has a nontrivial idempotent polynomial operation then either it is locally functionally complete or it is polynomially equivalent to a vector space over the two element field or it is a simple algebra that is semi-affine with respect to an elementary 2-group. In the second and third cases the group of weak automorphisms cannot be 4-transitive. (English) |
| Keyword:
|
locally functionally complete algebra |
| Keyword:
|
weak automorphism |
| MSC:
|
08A05 |
| MSC:
|
08A35 |
| MSC:
|
08A40 |
| idZBL:
|
Zbl 1069.08001 |
| idMR:
|
MR1879447 |
| . |
| Date available:
|
2008-06-06T22:29:00Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107802 |
| . |
| 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:
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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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| . |
