Inert subgroups of uncountable locally finite groups

Barbara Majcher-Iwanow

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 4, page 615-622
  • ISSN: 0010-2628

Abstract

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Let G be an uncountable universal locally finite group. We study subgroups H < G such that for every g ∈ G , | H : H ∩ H g | < | H | .

How to cite

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Majcher-Iwanow, Barbara. "Inert subgroups of uncountable locally finite groups." Commentationes Mathematicae Universitatis Carolinae 44.4 (2003): 615-622. <http://eudml.org/doc/249165>.

@article{Majcher2003,
abstract = {Let $G$ be an uncountable universal locally finite group. We study subgroups $H<G$ such that for every $g\in G$, $|H:H\cap H^g|<|H|$.},
author = {Majcher-Iwanow, Barbara},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {universal locally finite group; inert subgroup; universal locally finite groups; inert subgroups; residually finite subgroups},
language = {eng},
number = {4},
pages = {615-622},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Inert subgroups of uncountable locally finite groups},
url = {http://eudml.org/doc/249165},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Majcher-Iwanow, Barbara
TI - Inert subgroups of uncountable locally finite groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 4
SP - 615
EP - 622
AB - Let $G$ be an uncountable universal locally finite group. We study subgroups $H<G$ such that for every $g\in G$, $|H:H\cap H^g|<|H|$.
LA - eng
KW - universal locally finite group; inert subgroup; universal locally finite groups; inert subgroups; residually finite subgroups
UR - http://eudml.org/doc/249165
ER -

References

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  2. Hall Ph., Some constructions for locally finite groups, J. London Math. Soc. 34 (1959), 305-319. (1959) Zbl0088.02301MR0162845
  3. Hickin K., Universal locally finite central extensions of groups, Proc. London Math. Soc. 52 (1986), 53-72. (1986) Zbl0582.20022MR0812445
  4. Kegel O., Wehrfritz B., Locally Finite Groups, North-Holland, Amsterdam, 1973. Zbl0259.20001MR0470081
  5. Keisler H.J., Model Theory for Infinitary Logic, North-Holland, Amsterdam, 1971. Zbl0222.02064
  6. Macintyre A., Shelah S., Uncountable universal locally finite groups, J. Algebra 43 (1976), 168-175. (1976) Zbl0363.20032MR0439625
  7. Mekler A., On residual properties, Proc. Amer. Math. Soc. 78 (1980), 187-188. (1980) Zbl0448.03021MR0550490
  8. Morley M., Homogeneous sets, in: Handbook of Mathematical Logic, edited by J. Barwise, North-Holland, Amsterdam, 1977, pp.181-196. MR0457132

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