scholarly journals Some remarks on profinite completion of spaces

2019 ◽  
Author(s):  
Gereon Quick
Keyword(s):  
Profinite Completion

scholarly journals The profinite completion of multi-EGS groups

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Anitha Thillaisundaram ◽  
Jone Uria-Albizuri
Keyword(s):  
Congruence Subgroup ◽  
Profinite Completion ◽  
Congruence Subgroup Property

AbstractThe class of multi-EGS groups is a generalisation of the well-known Grigorchuk–Gupta–Sidki (GGS-)groups. Here we classify branch multi-EGS groups with the congruence subgroup property and determine the profinite completion of all branch multi-EGS groups. Additionally, our results show that branch multi-EGS groups are just infinite.

scholarly journals Exactness properties of profinite completion functors

Topology ◽  
1974 ◽  
Vol 13 (3) ◽  
pp. 229-239 ◽  
Author(s):  
Michael P. Anderson
Keyword(s):  
Profinite Completion

scholarly journals PROFINITE COMPLETION OF GRIGORCHUK'S GROUP IS NOT FINITELY PRESENTED

2012 ◽  
Vol 22 (05) ◽  
pp. 1250045
Author(s):  
MUSTAFA GÖKHAN BENLI
Keyword(s):  
Profinite Group ◽  
Profinite Completion ◽  
Infinite Dimensional ◽  
Grigorchuk Group ◽  
Schur Multipliers ◽  
Finite Quotients ◽  
Minimal Presentations ◽  
Finitely Presented

In this paper we prove that the profinite completion [Formula: see text] of the Grigorchuk group [Formula: see text] is not finitely presented as a profinite group. We obtain this result by showing that [Formula: see text] is infinite dimensional. Also several results are proven about the finite quotients [Formula: see text] including minimal presentations and Schur Multipliers.

Group extensions whose profinite completion is exact

1978 ◽  
Vol 31 (1) ◽  
pp. 244-253 ◽  
Author(s):  
Hans Rudolf Schneebeli
Keyword(s):  
Profinite Completion ◽  
Group Extensions

scholarly journals Profinite detection of 3-manifold decompositions

2019 ◽  
Vol 155 (2) ◽  
pp. 246-259 ◽  
Author(s):  
Henry Wilton ◽  
Pavel Zalesskii
Keyword(s):  
Fundamental Group ◽  
Profinite Completion

The profinite completion of the fundamental group of a closed, orientable $3$-manifold determines the Kneser–Milnor decomposition. If $M$ is irreducible, then the profinite completion determines the Jaco–Shalen–Johannson decomposition of $M$.

THE PROFINITE COMPLETION OF A PROFINITE PROJECTIVE GROUP

2021 ◽  
pp. 1-5
Author(s):  
TAMAR BAR-ON
Keyword(s):  
Projective Group ◽  
Profinite Completion

Abstract We prove that the profinite completion of a profinite projective group is projective.

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