Abelian groups which have trivial absolute coGalois group

Edgar E. Enochs; Juan Rada

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 2, page 433-437
  • ISSN: 0011-4642

Abstract

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In this article we characterize those abelian groups for which the coGalois group (associated to a torsion free cover) is equal to the identity.

How to cite

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Enochs, Edgar E., and Rada, Juan. "Abelian groups which have trivial absolute coGalois group." Czechoslovak Mathematical Journal 55.2 (2005): 433-437. <http://eudml.org/doc/30956>.

@article{Enochs2005,
abstract = {In this article we characterize those abelian groups for which the coGalois group (associated to a torsion free cover) is equal to the identity.},
author = {Enochs, Edgar E., Rada, Juan},
journal = {Czechoslovak Mathematical Journal},
keywords = {group; cover; torsion free; Abelian groups; coGalois groups; torsion free covers},
language = {eng},
number = {2},
pages = {433-437},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Abelian groups which have trivial absolute coGalois group},
url = {http://eudml.org/doc/30956},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Enochs, Edgar E.
AU - Rada, Juan
TI - Abelian groups which have trivial absolute coGalois group
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 2
SP - 433
EP - 437
AB - In this article we characterize those abelian groups for which the coGalois group (associated to a torsion free cover) is equal to the identity.
LA - eng
KW - group; cover; torsion free; Abelian groups; coGalois groups; torsion free covers
UR - http://eudml.org/doc/30956
ER -

References

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  4. 10.1080/00927870008827060, Commun. Algebra 28 (2000), 3823–3835. (2000) MR1767592DOI10.1080/00927870008827060
  5. 10.1017/S0305004199004156, Math. Proc. Camb. Phil. Soc. 128 (2000), 233–244. (2000) MR1735308DOI10.1017/S0305004199004156
  6. Infinite Abelian Groups, University of Michigan Press, Michigan, 1969. (1969) Zbl0194.04402MR0233887
  7. 10.1016/0021-8693(90)90055-S, J.  Algebra 134 (1990), 298–325. (1990) Zbl0726.16009MR1074331DOI10.1016/0021-8693(90)90055-S
  8. Flat covers of modules, Lectures Notes in Math. Vol. 1634, Springer-Verlag, , 1996. (1996) Zbl0860.16002MR1438789

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