Geodesic
On the growth of a Coxeter group
Tommaso Terragni1
1Università di Milano-Bicocca, Italy
Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 601-618

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DOI

For a Coxeter system (W,S) let an(W,S)​ be the cardinality of the sphere of radius n in the Cayley graph of W with respect to the standard generating set S. It is shown that, if (W,S)⪯(W′,S′) then an(W,S)​≤an(W′,S′)​ for all n∈N0​, where ⪯ is a suitable partial order on Coxeter systems (cf. Theorem A).
DOI : 10.4171/ggd/358
Classification : 20-XX, 05-XX
Mots-clés : Coxeter groups, growth of groups

Tommaso Terragni  1

1 Università di Milano-Bicocca, Italy 
Tommaso Terragni. On the growth of a Coxeter group. Groups, geometry, and dynamics, Tome 10 (2016) no. 2, pp. 601-618. doi: 10.4171/ggd/358
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     title = {On the growth of a {Coxeter} group},
     journal = {Groups, geometry, and dynamics},
     pages = {601--618},
     year = {2016},
     volume = {10},
     number = {2},
     doi = {10.4171/ggd/358},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/358/}
}
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