Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-28T18:37:05.503Z Has data issue: false hasContentIssue false
  • English
  • Français

Small profinite groups

Published online by Cambridge University Press:  12 March 2014

Ludomir Newelski
Ludomir Newelski*
Affiliation:
Mathematical Institute of the Polish Academy of Sciences, Ul.Kopernika 18, 51-617 Wroclaw, Poland
*
Mathematical Institute, University of Wroclaw, pl. Grunwaldzki, 2/4, 50-384 Wroclaw, Poland, E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

We propose a model-theoretic framework for investigating profinite groups. Within this framework we define and investigate small profinite groups. We consider the question if any small profinite group has an open abelian subgroup.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 2 , June 2001 , pp. 859 - 872
Copyright
Copyright © Association for Symbolic Logic 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[Ba]Baudisch, A., On superstable groups, The Journal of the London Mathematical Society, vol. 42 (1990), pp. 452–464.CrossRefGoogle Scholar
[Bu]Buechler, S., Essential stability theory, Springer, 1997.Google Scholar
[KW]Kegel, O. and Wehrfritz, B., Locally finite groups, North Holland, 1973.Google Scholar
[Ne1]Newelski, L., M-gap conjecture and m-normal theories, Israel Journal of Mathematics, vol. 106 (1998), pp. 285–311.CrossRefGoogle Scholar
[Ne2]Newelski, L., Meager forking and m-independence, Proceedings of the 1CM, vol. II, 1998, pp. 33–42.Google Scholar
[Ne3]Newelski, L., M-normal theories, Fundamentals of Mathematics, to appear.Google Scholar
[Ne4]Newelski, L., Small profinite structures, Transactions of the American Mathematics Society, to appear.Google Scholar
[Po]Poizat, B., Groupes stables, Nur Al-Mantiq Wal-Ma'rifah, Villeurbane, France, 1985.Google Scholar