Abstract
The shape of the augmentation series is an old question in modular group representation theory. Using an asymptotic point of view probability theory provides useful patterns to describe these shapes. Especially for largep-groups the normal distribution is a good approach.
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Dedicated to Albrecht Brandis
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Weidner, M. Augmentation-filtration and normal distribution. Isr. J. Math. 109, 117–123 (1999). https://doi.org/10.1007/BF02775030
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DOI: https://doi.org/10.1007/BF02775030