Geodesic
Representation zeta functions of wreath products with finite groups
Laurent Bartholdi1 orcid ; Pierre de la Harpe2 orcid
1Georg-August-Universität Göttingen, Germany
2Université de Genève, Switzerland
Groups, geometry, and dynamics, Tome 4 (2010) no. 2, pp. 209-249

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

DOI

Let G be a group which has a finite number rn​(G) of irreducible linear representations in GLn​(C) for all n≥1. Let ζ(G,s)=∑n = 1∞​rn​(G)n−s be its representation zeta function.
DOI : 10.4171/ggd/81
Classification : 11-XX, 20-XX, 00-XX
Mots-clés : Irreducible linear representations, finite groups, wreath products, <var>d</var>-ary tree, groups of automorphisms of rooted trees, Clifford theory, Dirichlet series, representation zeta function

Laurent Bartholdi  1   ; Pierre de la Harpe  2

1 Georg-August-Universität Göttingen, Germany
2 Université de Genève, Switzerland 
Laurent Bartholdi; Pierre de la Harpe. Representation zeta functions of wreath products with finite groups. Groups, geometry, and dynamics, Tome 4 (2010) no. 2, pp. 209-249. doi: 10.4171/ggd/81
@article{10_4171_ggd_81,
     author = {Laurent Bartholdi and Pierre de la Harpe},
     title = {Representation zeta functions of wreath products with finite groups},
     journal = {Groups, geometry, and dynamics},
     pages = {209--249},
     year = {2010},
     volume = {4},
     number = {2},
     doi = {10.4171/ggd/81},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/81/}
}
TY  - JOUR
AU  - Laurent Bartholdi
AU  - Pierre de la Harpe
TI  - Representation zeta functions of wreath products with finite groups
JO  - Groups, geometry, and dynamics
PY  - 2010
SP  - 209
EP  - 249
VL  - 4
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/81/
DO  - 10.4171/ggd/81
ID  - 10_4171_ggd_81
ER  - 
%0 Journal Article
%A Laurent Bartholdi
%A Pierre de la Harpe
%T Representation zeta functions of wreath products with finite groups
%J Groups, geometry, and dynamics
%D 2010
%P 209-249
%V 4
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/81/
%R 10.4171/ggd/81
%F 10_4171_ggd_81

Cité par Sources :