THE LOWER RANK OF DIRECT PRODUCTS OF HEREDITARILY JUST INFINITE GROUPS
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 225-230

Voir la notice de l'article provenant de la source Cambridge University Press

We determine the lower rank of the direct product of finitely many hereditarily just infinite profinite groups of finite lower rank.
KLOPSCH, BENJAMIN; VANNACCI, MATTEO. THE LOWER RANK OF DIRECT PRODUCTS OF HEREDITARILY JUST INFINITE GROUPS. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 225-230. doi: 10.1017/S0017089517000064
@article{10_1017_S0017089517000064,
     author = {KLOPSCH, BENJAMIN and VANNACCI, MATTEO},
     title = {THE {LOWER} {RANK} {OF} {DIRECT} {PRODUCTS} {OF} {HEREDITARILY} {JUST} {INFINITE} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {225--230},
     year = {2018},
     volume = {60},
     number = {1},
     doi = {10.1017/S0017089517000064},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000064/}
}
TY  - JOUR
AU  - KLOPSCH, BENJAMIN
AU  - VANNACCI, MATTEO
TI  - THE LOWER RANK OF DIRECT PRODUCTS OF HEREDITARILY JUST INFINITE GROUPS
JO  - Glasgow mathematical journal
PY  - 2018
SP  - 225
EP  - 230
VL  - 60
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000064/
DO  - 10.1017/S0017089517000064
ID  - 10_1017_S0017089517000064
ER  - 
%0 Journal Article
%A KLOPSCH, BENJAMIN
%A VANNACCI, MATTEO
%T THE LOWER RANK OF DIRECT PRODUCTS OF HEREDITARILY JUST INFINITE GROUPS
%J Glasgow mathematical journal
%D 2018
%P 225-230
%V 60
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000064/
%R 10.1017/S0017089517000064
%F 10_1017_S0017089517000064

[1] 1. Barnea, Y., Generators of simple Lie algebras and the lower rank of some pro-p-groups, Comm. Algebra 30 (3) (2002), 1293–1303. Google Scholar | DOI

[2] 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). Google Scholar | DOI

[3] 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] 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). Google Scholar | DOI

[5] 5. Kuranishi, M., On everywhere dense imbedding of free groups in Lie groups, Nagoya Math. J. 2 (1951), 63–71. Google Scholar | DOI

[6] 6. Lazard, M., Groupes analytiques p-adiques, Inst. Hautes Études Sci. Publ. Math. 26 (1965), 389–603. Google Scholar

[7] 7. Lubotzky, A. and Mann, A., Powerful p-groups. II. p-adic analytic groups, J. Algebra 105 (2) (1987), 506–515. Google Scholar | DOI

[8] 8. Lubotzky, A. and Shalev, A., On some Λ-analytic pro-p groups, Israel J. Math. 85 (1–3) (1994), 307–337. Google Scholar | DOI

[9] 9. Reid, C. D., On the structure of just infinite profinite groups, J. Algebra 324 (9) (2010), 2249–2261. Google Scholar | DOI

[10] 10. Vannacci, M., On hereditarily just infinite profinite groups obtained via iterated wreath products, J. Group Theory 19 (2) (2016), 233–238. Google Scholar

Cité par Sources :