Abstract
AbstractIt is proved that every finitely generated profinite group with fewer than $$2^{\aleph _0}$$
2
ℵ
0
conjugacy classes of elements of infinite order is finite.
Publisher
Springer Science and Business Media LLC
Reference10 articles.
1. Dixon, J.D., du Sautoy, M.P.F., Mann, A., Segal, D.: Analytic Pro-$$p$$ Groups, 2nd edn. Cambridge Studies in Advanced Mathematics, vol. 61. Cambridge University Press, Cambridge (1999)
2. Gorenstein, D.: Finite Groups, 2nd edn. AMS Chelsea Publ., Providence (1980)
3. Herfort, W.: An arithmetic property of profinite groups. Manuscripta Math. 37, 11–17 (1982)
4. Jaikin-Zapirain, A., Nikolov, N.: An infinite compact Hausdorff group has uncountably many conjugacy classes. Proc. Amer. Math. Soc. 147, 4083–4089 (2019)
5. Wilson, J.S.: On the structure of compact torsion groups. Monatsh. Math. 96, 57–66 (1983)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the lattice of closed subgroups of a profinite group;International Journal of Algebra and Computation;2024-05-09