Strong boundedness and algebraically closed groups

Majcher-Iwanow, Barbara. "Strong boundedness and algebraically closed groups." Commentationes Mathematicae Universitatis Carolinae 48.2 (2007): 205-209. <http://eudml.org/doc/250224>.

@article{Majcher2007,
abstract = {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.},
author = {Majcher-Iwanow, Barbara},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {strongly bounded groups; existentially closed groups; strongly bounded groups; existentially closed groups},
language = {eng},
number = {2},
pages = {205-209},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Strong boundedness and algebraically closed groups},
url = {http://eudml.org/doc/250224},
volume = {48},
year = {2007},
}

TY - JOUR
AU - Majcher-Iwanow, Barbara
TI - Strong boundedness and algebraically closed groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 2
SP - 205
EP - 209
AB - 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.
LA - eng
KW - strongly bounded groups; existentially closed groups; strongly bounded groups; existentially closed groups
UR - http://eudml.org/doc/250224
ER -

References

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