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STOC
1987
ACM

Permutation Groups in NC

14 years 2 months ago
Permutation Groups in NC
We show that the basic problems of permutation group manipulation admit e cient parallel solutions. Given a permutation group G by a list of generators, we nd a set of NC-e cient strong generators in NC. Using this, we show, that the following problems are in NC: membership in G; determining the order of G; nding the center of G; nding a composition series of G along with permutation representations of each composition factor. Moreover, given G, we are able to nd the pointwise stabilizer of a set in NC. One consequence is that isomorphismofgraphs with bounded multiplicityof eigenvalues is in NC. The analysis of the algorithms depends, in several ways, on consequences of the classi cation of nite simple groups.
László Babai, Eugene M. Luks, &Aacut
Added 28 Aug 2010
Updated 28 Aug 2010
Type Conference
Year 1987
Where STOC
Authors László Babai, Eugene M. Luks, Ákos Seress
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