JOURNAL ARTICLE
Counting the closed subgroups of profinite groups
Year: 2009 Journal: Journal of Group Theory Vol: 13 (1) Publisher: De Gruyter
Abstract
The sets of closed and closed-normal subgroups of a profinite group carry a natural profinite topology. Through a combination of algebraic and topological methods the size of these subgroup spaces is calculated, and the spaces partially classified up to homeomorphism.
Keywords:
Profinite group Mathematics Homeomorphism (graph theory) Normal subgroup Topological group Algebraic number Pure mathematics Topological space Algebraic topology Group (periodic table) Topology (electrical circuits) Discrete mathematics Combinatorics Mathematical analysis
Metrics
10
Cited By
0.40
FWCI (Field Weighted Citation Impact)
17
Refs
0.63
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Advanced Topology and Set Theory
Physical Sciences → Mathematics → Geometry and Topology
Rings, Modules, and Algebras
Physical Sciences → Mathematics → Algebra and Number Theory
Finite Group Theory Research
Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics
Related Documents
JOURNAL ARTICLE
Closed Subgroups of Profinite Groups
Journal: Proceedings of the London Mathematical Society Year: 2000 Vol: 81 (1)Pages: 29-54
JOURNAL ARTICLE
Profinite groups with complemented closed subgroups
Gustavo A. Fernández‐AlcoberG. Sabatino
Journal: Journal of Algebra Year: 2025 Vol: 687 Pages: 763-775
JOURNAL ARTICLE
Closed subgroups of free profinite monoids are projective profinite groups
Journal: Bulletin of the London Mathematical Society Year: 2008 Vol: 40 (3)Pages: 375-383
JOURNAL ARTICLE
ON PROFINITE GROUPS WHOSE POWER SUBGROUPS ARE CLOSED
Jon M. CorsonThomas J. Ratkovich
Journal: Communications in Algebra Year: 2002 Vol: 30 (9)Pages: 4189-4196
JOURNAL ARTICLE
On Closed Subgroups of Free Products of Profinite Groups
Journal: Proceedings of the London Mathematical Society Year: 1987 Vol: s3-55 (2)Pages: 266-298