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Experimenting and computing with infinite groups
Towards polynomial time algorithms for matrix groups
Calculating the order of an invertible matrix
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9t-base algebra algorithm for computing analysis applications assume automorphism Babai backtrack search band-limited base block chain of subgroups classical groups color-class coloring compact groups complexity composition series Computer Science conjugacy class construction data structure defined Definition denote discrete efficient element of G example factors fast Fourier transform finite groups finite soluble group Frattini subgroup function given GL(n graphs group elements group G homomorphism implementation input integer irreducible representations isomorphism Lemma Let G linear group Math Mathematics matrix coefficients matrix groups maximal subgroups method minimal multiplication nearly linear nilpotent node nonabelian normal subgroup obtained operations orbit P-refinements pair permutation groups polycyclic polycyclic groups prefrattini subgroup prime problem procedure proof quotient refinement result scalar search tree Section separation of variables sequence solvable special CGS strong generating set subgroup of G subset subspace Sylow Sylow subgroups symmetric group Theorem transvection unordered partition vector vertex