Computing the composition factors of a permutation group in polynomial time
From MaRDI portal
Publication:581532
DOI10.1007/BF02579204zbMath0627.20002MaRDI QIDQ581532
Publication date: 1987
Published in: Combinatorica (Search for Journal in Brave)
generatorsprimitive permutation groupspermutation groupcomposition factorscomplexity analysispolynomial time algorithms
Series and lattices of subgroups (20D30) Software, source code, etc. for problems pertaining to group theory (20-04) Primitive groups (20B15) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05) Algorithms in computer science (68W99)
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Cites Work
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- Sylow's theorem in polynomial time
- Isomorphism of graphs of bounded valence can be tested in polynomial time
- Solvability of groups of odd order
- Polynomial-time algorithms for finding elements of prime order and sylow subgroups
- Polynomial-time versions of Sylow's theorem
- Finite Permutation Groups and Finite Simple Groups
- An Algorithm for Finding the Blocks of a Permutation Group