| Title:
|
Strong boundedness and algebraically closed groups (English) |
| Author:
|
Majcher-Iwanow, Barbara |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
205-209 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a non-trivial algebraically closed group and $X$ be a subset of $G$ generating $G$ in infinitely many steps. We give a construction of a binary tree associated with $(G,X)$. Using this we show that if $G$ is $\omega_1$-existentially closed then it is strongly bounded. (English) |
| Keyword:
|
strongly bounded groups |
| Keyword:
|
existentially closed groups |
| MSC:
|
20A15 |
| MSC:
|
20E08 |
| MSC:
|
20F65 |
| idZBL:
|
Zbl 1174.20011 |
| idMR:
|
MR2338088 |
| . |
| Date available:
|
2009-05-05T17:02:16Z |
| Last updated:
|
2012-05-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119650 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| . |
