Hostname: page-component-7f64f4797f-n5rmq Total loading time: 0 Render date: 2025-11-10T05:17:10.978Z Has data issue: false hasContentIssue false
  • English
  • Français

Two remarks on amalgams of locally finite groups

Published online by Cambridge University Press:  17 April 2009

Berthold J. Maier
Berthold J. Maier
Affiliation:
Mathematisches Institut der Albert–Ludwigs–Universität, Albertstr. 23b, Freiburg i. Br., Germany.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We construct non amalgamation bases in the class of locally finite groups, and we present necessary and sufficient conditions for the embeddability of an amalgam into a locally finite group in the case that the common subgroup has finite index in both constituents.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 461 - 468
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Grossberg, R., Shelah, S., “On universal locally finite groups”, Israel J. Math. 44 (1983), 289–302.CrossRefGoogle Scholar
[2]Higman, G., “Amalgams of p-groups”, J. Algebra 1 (1964), 301–305.CrossRefGoogle Scholar
[3]Leinen, F., “A uniform way to control chief series in finite p-groups and to construct the countable algebraically closed locally finite p-groups”, J. London Math. Soc. (2) 33 (1986), 260–270.CrossRefGoogle Scholar
[4]Leinen, F., “Concerning amalgamation over ”, (preprint, 1985).Google Scholar
[5]Maier, B.J., “Amalgame nilpotenter Gruppen der Klasse zwei”, Publ. Math. Debrecen, I 31 (1984), 57–70, II 33 (1986), 43–52.Google Scholar
[6]Maier, B.J., “Amalgame torsionsfreier nilpotenter Gruppen”, J. Algebra 99 (1986), 520–547.CrossRefGoogle Scholar
[7]Neumann, B.K., “Amalgams of periodic groups”, Proc. Roy. Soc. London Sep. A 255 (1960), 477–489.Google Scholar
[8]Neumann, B.H., “Permutational products of groups”, J. Auetral. Math. Soc. 1 (1960), 299–310.Google Scholar
[9]Saracino, D., “Amalgamation bases for nil-2 groups”, Algebra Universalis 16 (1983), 47–62.CrossRefGoogle Scholar