Abstract.
By estimating the subgroup numbers associated with various classes of large groups, we exhibit a number of new phenomena in the theory of subgroup growth.
Similar content being viewed by others
References
A Dress T Müller (1997) ArticleTitleDecomposable functors and the exponential principle. Adv Math 129 188–221 Occurrence Handle10.1006/aima.1997.1648
Lubotzky A (1993) Subgroup Growth. Lecture notes prepared for the conference groups ’93 Galway/St. Andrews, University College, Galway
T Müller (1991) ArticleTitleCombinatorial aspects of finitely generated virtually free groups. J London Math Society 44 75–94
T Müller (1996) ArticleTitleSubgroup growth of free products. Invent Math 126 111–131 Occurrence Handle10.1007/s002220050091
T Müller (1997) ArticleTitleFinite group actions and asymptotic expansion of eP(z). Combinatorica 17 523–554 Occurrence Handle10.1007/BF01195003
T Müller (2000) ArticleTitleEnumerating representations in finite wreath products. Adv Math 153 118–154 Occurrence Handle10.1006/aima.1998.1885
T Müller J-C Puchta (2002) ArticleTitleCharacter theory of symmetric groups and subgroup growth of surface groups. J London Math Soc (2) 66 623–640
Pride SJ (1980) The concept of largeness in group theory. In: Word Problems II, pp 299–335 Amsterdam: North Holland
L Pyber (1993) ArticleTitleEnumerating finite groups of given order. Ann Math 137 203–220
O Schreier (1927) ArticleTitleDie Untergruppen der freien Gruppen. Abh Math Sem Hamburg 5 161–183
EM Wright (1967) ArticleTitleA relationship between two sequences. Proc London Math Soc 17 296–304
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Müller, T., Schlage-Puchta, JC. Some Examples in the Theory of Subgroup Growth. Mh Math 146, 49–76 (2005). https://doi.org/10.1007/s00605-005-0319-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00605-005-0319-y