No CrossRef data available.
Article contents
THE LOWER RANK OF DIRECT PRODUCTS OF HEREDITARILY JUST INFINITE GROUPS
Part of:
Special aspects of infinite or finite groups
Structure and classification of infinite or finite groups
Published online by Cambridge University Press: 04 September 2017
Abstract
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 determine the lower rank of the direct product of finitely many hereditarily just infinite profinite groups of finite lower rank.
MSC classification
Primary:
20E18: Limits, profinite groups
- Type
- Research Article
- Information
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 2017
References
REFERENCES
1.
Barnea, Y., Generators of simple Lie algebras and the lower rank of some pro-p-groups, Comm. Algebra
30
(3) (2002), 1293–1303.CrossRefGoogle Scholar
2.
Dixon, J. D., du Sautoy, M. P. F., Mann, A. and Segal, D., Analytic pro-p groups, Cambridge Studies in Advanced Mathematics, vol. 61 (Cambridge University Press, Cambridge, 1999).CrossRefGoogle Scholar
3.
Ershov, M. and Jaikin-Zapirain, A., Groups of positive weighted deficiency and their applications, J. Reine Angew. Math.
677 (2013), 71–134.Google Scholar
4.
Klaas, G., Leedham-Green, C. R. and Plesken, W., Linear pro-p-groups of finite width, Lecture Notes in Mathematics, vol. 1674 (Springer-Verlag, Berlin, 1997).CrossRefGoogle Scholar
5.
Kuranishi, M., On everywhere dense imbedding of free groups in Lie groups, Nagoya Math. J.
2 (1951), 63–71.CrossRefGoogle Scholar
6.
Lazard, M., Groupes analytiques p-adiques, Inst. Hautes Études Sci. Publ. Math.
26 (1965), 389–603.Google Scholar
7.
Lubotzky, A. and Mann, A., Powerful p-groups. II. p-adic analytic groups, J. Algebra
105
(2) (1987), 506–515.CrossRefGoogle Scholar
8.
Lubotzky, A. and Shalev, A., On some Λ-analytic pro-p groups, Israel J. Math.
85
(1–3) (1994), 307–337.CrossRefGoogle Scholar
9.
Reid, C. D., On the structure of just infinite profinite groups, J. Algebra
324
(9) (2010), 2249–2261.CrossRefGoogle Scholar
10.
Vannacci, M., On hereditarily just infinite profinite groups obtained via iterated wreath products, J. Group Theory
19
(2) (2016), 233–238.Google Scholar
You have
Access