Factoring groups efficiently

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Abstract

We give a polynomial time algorithm that computes a decomposition of a finite group G given in the form of its multiplication table. That is, given G, the algorithm outputs two subgroups A and B of G such that G is the direct product of A and B, if such a decomposition exists. © 2009 Springer Berlin Heidelberg.

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Kayal, N., & Nezhmetdinov, T. (2009). Factoring groups efficiently. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5555 LNCS, pp. 585–596). https://doi.org/10.1007/978-3-642-02927-1_49

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