Geodesic
Random pro-$p$ groups, braid groups, and random tame Galois groups
Nigel Boston1 ; Jordan S. Ellenberg2
1University of Wisconsin, Madison, United States
2University of Wisconsin, Madison, USA
Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 265-280

Voir la notice de l'article provenant de la source EMS Press

DOI

We introduce a heuristic prediction for the distribution of the isomorphism class of the Galois group of the maximal pro-p extension of Q unramified outside a “random” set of primes. This is guided by reasoning similar to that governing the Cohen–Lenstra conjectures. We conclude by describing theoretical and experimental evidence for our heuristic.
DOI : 10.4171/ggd/127
Classification : 11-XX, 20-XX, 00-XX
Mots-clés : Braid groups, random matrices, Cohen–Lenstra, Galois groups, restricted ramification, pro-p groups

Nigel Boston  1   ; Jordan S. Ellenberg  2

1 University of Wisconsin, Madison, United States
2 University of Wisconsin, Madison, USA 
Nigel Boston; Jordan S. Ellenberg. Random pro-$p$ groups, braid groups, and random tame Galois groups. Groups, geometry, and dynamics, Tome 5 (2011) no. 2, pp. 265-280. doi: 10.4171/ggd/127
@article{10_4171_ggd_127,
     author = {Nigel Boston and Jordan S. Ellenberg},
     title = {Random pro-$p$ groups, braid groups, and random tame {Galois} groups},
     journal = {Groups, geometry, and dynamics},
     pages = {265--280},
     year = {2011},
     volume = {5},
     number = {2},
     doi = {10.4171/ggd/127},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/127/}
}
TY  - JOUR
AU  - Nigel Boston
AU  - Jordan S. Ellenberg
TI  - Random pro-$p$ groups, braid groups, and random tame Galois groups
JO  - Groups, geometry, and dynamics
PY  - 2011
SP  - 265
EP  - 280
VL  - 5
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/127/
DO  - 10.4171/ggd/127
ID  - 10_4171_ggd_127
ER  - 
%0 Journal Article
%A Nigel Boston
%A Jordan S. Ellenberg
%T Random pro-$p$ groups, braid groups, and random tame Galois groups
%J Groups, geometry, and dynamics
%D 2011
%P 265-280
%V 5
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/127/
%R 10.4171/ggd/127
%F 10_4171_ggd_127

Cité par Sources :