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

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 mul...

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Bibliographic Details
Published in:arXiv.org 2003-05
Main Authors: Mueller, Thomas W, Jan-Christoph Schlage-Puchta
Format: Article
Language:English
Subjects:
Asymptotic series
Random walk
Random walk theory
Subgroups
Online Access:Get full text
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Summary: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.
ISSN:2331-8422