Character Theory of Symmetric Groups, Subgroup Growth of Fuchsian Groups, and Random Walks

Details Character Theory of Symmetric Groups, Subgroup Growth of Fuchsian Groups, and Random Walks Character Theory of Symmetric Groups, Subgroup Growth of Fuchsian Groups, and Random Walks

Publishing date

2003-05-18

URL

arxiv.org/abs/math/0305260v1

Science

Mathematics

Field

Group Theory

Additional info

57 pages, submitted to Acta Mathematica

Type

Scientific paper

Abstract

We derive an asymptotic expansion for the subgroup of arbitrary Fuchsian
groups and some other classes of large groups. Moreover, the main conjecture
for Random Walks on symmetric groups is established in full generality. Both
problems require subtle estimates of character values and root number
multiplicities for symmetric groups, which are also of independent interest.

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