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On nilpotent groups of algebra automorphisms, Nagoya Math. An urn model and the prediction of order statistics, Communications in Statistics 4, with K.
Computing normalizers in permutation p-groupsProceedings of the International Symposium on Symbolic and Algebraic Computation,with F. Hypergraph isomorphism and structural equivalence of boolean functions, Proceedings seking ACM Symposium on Theory of Computing, Cooperman, L.
Sylow subgroups in parallel, Journal of Algorithms, 31, with W. Goodman, W.
Strategy, non-transitive dominance and the exponential distribution, Australian Journal of Statistics, 26, with K. Kaminsky, P.
Hoffmann, C. Dixon, M.
Kolman, Academic Press Fast management of permutation groups, Proc. On a duality for metabelian Lie algebras, Journal of Algebra 21, with G. Ginsberg, and A.
eigene On the mean duration of a ball and cell game; a first passage problem, Annals of Math. Normalizers of linear Lie algebras, Linear and Multilinear Algebra 2, Schnorr, A. Journal 44, with G.
Although there are numerous applications, the work was originally motivated by problems similar to testing graph isomorphism. On derivations and holomorphs of nilpotent Lie algebras, Nagoya Math. Computing the composition factors of a permutation group in polynomial time, Combinatorica 7 Seeming towers of Lie algebras, Journal of Algebra 61, Dixon, D.
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Furst, J. Babai, G.
Hofer, A. A subexponential algorithm for trivalent graph isomorphism, Proc.
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Computational complexity and the classification of finite simple groups, Proc. Reduction of group constructions to point stabilizers, Proc. Ginsberg, A. Galil, C.
Implementing a generalized version of resolution, 19th National Conference on Artificial Intelligence, with H. Journal 59, with G.
The complexity of symmetry-breaking formulas, Annals of Mathematics and Artificial Intelligence, 41, with A. Kantor, and P. Lie algebras with only inner derivations need not be complete, Journal of Algebra eugenf, This resulted in a new group-theoretic approach to the general problem and specifically in polynomial-time procedures for ificant graph classes.
Cohomology theorems for Borel-like solvable Lie algebras in arbitrary characteristic, Canadian Journal of Math. Journal 46, with G.
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Current projects tend to be aimed at improved algorithms for a wider class of group-theoretic problems, seeking efficient especially polynomial-time solutions to problems for which only asymptotically infeasible e. Isomorphism of graphs of bounded valence can be tested in polynomial time, Proc. Permutation groups in NC, Proc.