Title:
|
Inert subgroups of uncountable locally finite groups (English) |
Author:
|
Majcher-Iwanow, Barbara |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
44 |
Issue:
|
4 |
Year:
|
2003 |
Pages:
|
615-622 |
. |
Category:
|
math |
. |
Summary:
|
Let $G$ be an uncountable universal locally finite group. We study subgroups $H<G$ such that for every $g\in G$, $|H:H\cap H^g|<|H|$. (English) |
Keyword:
|
universal locally finite group |
Keyword:
|
inert subgroup |
MSC:
|
20A15 |
MSC:
|
20E07 |
MSC:
|
20E25 |
MSC:
|
20F50 |
idZBL:
|
Zbl 1101.20023 |
idMR:
|
MR2062877 |
. |
Date available:
|
2009-01-08T19:31:33Z |
Last updated:
|
2012-04-30 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119415 |
. |
Reference:
|
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Reference:
|
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Reference:
|
[3] Hickin K.: Universal locally finite central extensions of groups.Proc. London Math. Soc. 52 (1986), 53-72. Zbl 0582.20022, MR 0812445 |
Reference:
|
[4] Kegel O., Wehrfritz B.: Locally Finite Groups.North-Holland, Amsterdam, 1973. Zbl 0259.20001, MR 0470081 |
Reference:
|
[5] Keisler H.J.: Model Theory for Infinitary Logic.North-Holland, Amsterdam, 1971. Zbl 0222.02064 |
Reference:
|
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Reference:
|
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Reference:
|
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