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Mathematics of Computation

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Computing irreducible representations of supersolvable groups

Authors: Ulrich Baum and Michael Clausen
Journal: Math. Comp. 63 (1994), 351-359
MSC: Primary 20C40; Secondary 20C15, 68Q40
MathSciNet review: 1226811
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Abstract: Recently, it has been shown that the ordinary irreducible representations of a supersolvable group G of order n given by a power-commutator presentation can be constructed in time $ O({n^2}\log n)$. We present an improved algorithm with running time $ O(n\log n)$.

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Article copyright: © Copyright 1994 American Mathematical Society