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CHARACTER THEORY OF SYMMETRIC GROUPS AND SUBGROUP GROWTH OF SURFACE GROUPS

Abstract:

Results from the character theory of symmetric groups are used to obtain an asymptotic estimate for the subgroup growth of fundamental groups of closed 2-manifolds. The main result implies an armative answer, for the class of groups investigated, to a question of Lubotzky's concerning the relationship between the subgroup growth of a one-relator group and that of a free group of appropriately chosen rank. As byproducts, an interesting statistical property of commutators in symmetric groups an...

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Authors


Contributors

Muller, Thomas W
Puchta, Jan-Christoph
Publisher:
Cambridge University Press
Journal:
Journal of the London Mathematical Society
Issue:
66
Publication date:
2002-01-01
Source identifiers:
http://sers009b.sers.ox.ac.uk/archive/00000887/
Subjects:
UUID:
uuid:3cf563ad-9852-4bf4-a3fe-d5f77a2488c5
Local pid:
ora:795
Deposit date:
2012-11-15

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