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The subgroup growth spectrum of virtually free groups

(2010) ISRAEL JOURNAL OF MATHEMATICS. 177(1). p.229-251
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Abstract
For a finitely generated group I" denote by A mu(I") the growth coefficient of I", that is, the infimum over all real numbers d such that s (n) (I") < n! (d) . We show that the growth coefficient of a virtually free group is always rational, and that every rational number occurs as growth coefficient of some virtually free group.
Keywords
PRIMITIVE GROUPS

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Chicago
Schlage-Puchta, Jan-Christoph. 2010. “The Subgroup Growth Spectrum of Virtually Free Groups.” Israel Journal of Mathematics 177 (1): 229–251.
APA
Schlage-Puchta, J.-C. (2010). The subgroup growth spectrum of virtually free groups. ISRAEL JOURNAL OF MATHEMATICS, 177(1), 229–251.
Vancouver
1.
Schlage-Puchta J-C. The subgroup growth spectrum of virtually free groups. ISRAEL JOURNAL OF MATHEMATICS. 2010;177(1):229–51.
MLA
Schlage-Puchta, Jan-Christoph. “The Subgroup Growth Spectrum of Virtually Free Groups.” ISRAEL JOURNAL OF MATHEMATICS 177.1 (2010): 229–251. Print.
@article{1106410,
  abstract     = {For a finitely generated group I{\textacutedbl} denote by A mu(I{\textacutedbl}) the growth coefficient of I{\textacutedbl}, that is, the infimum over all real numbers d such that s (n) (I{\textacutedbl}) {\textlangle} n! (d) . We show that the growth coefficient of a virtually free group is always rational, and that every rational number occurs as growth coefficient of some virtually free group.},
  author       = {Schlage-Puchta, Jan-Christoph},
  issn         = {0021-2172},
  journal      = {ISRAEL JOURNAL OF MATHEMATICS},
  keyword      = {PRIMITIVE GROUPS},
  language     = {eng},
  number       = {1},
  pages        = {229--251},
  title        = {The subgroup growth spectrum of virtually free groups},
  url          = {http://dx.doi.org/10.1007/s11856-010-0044-7},
  volume       = {177},
  year         = {2010},
}

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