Geodesic
Counting arithmetic subgroups and subgroup growth of virtually free groups
Journal of the European Mathematical Society, Tome 17 (2015) no. 4, pp. 925-953.

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Let K be a p-adic field, and let H=PSL2​(K) endowed with the Haar measure determined by giving a maximal compact subgroup measure 1. Let ALH​(x) denote the number of conjugacy classes of arithmetic lattices in H with co-volume bounded by x. We show that under the assumption that K does not contain the element ζ+ζ−1, where ζ denotes the p-th root of unity over Qp​, we have
DOI : 10.4171/jems/522
Classification : 22-XX, 20-XX
Keywords: Arithmetic subgroups, counting lattices, subgroup growth, virtually free groups 
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     author = {Amichai Eisenmann},
     title = {Counting arithmetic subgroups and subgroup growth of virtually free groups},
     journal = {Journal of the European Mathematical Society},
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     year = {2015},
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Amichai Eisenmann. Counting arithmetic subgroups and subgroup growth of virtually free groups. Journal of the European Mathematical Society, Tome 17 (2015) no. 4, pp. 925-953. doi : 10.4171/jems/522. http://geodesic.mathdoc.fr/articles/10.4171/jems/522/

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