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p-modular representation

Proceedings of the Edinburgh Mathematical Society (1)

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The Complexity of the Lie Module
Karin Erdmann, Kay Jin Lim, Kai Meng Tan
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 2 / June 2014

Published online by Cambridge University Press:

05 September 2013, pp. 393-404
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We show that the complexity of the Lie module Lie(n) in characteristic p is bounded above by m, where pm is the largest p-power dividing n, and, if n is not a p-power, is equal to the maximum of the complexities of Lie(pi) for 1≤i≤m.