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• W2020801138 abstract "We describe a recursive data structure for the uniform handling of permutation groups and matrix groups. This data structure allows the switching between permutation and matrix representations of segments of the input group, and has wide-ranging applications. It provides a framework to process theoretical algorithms which were considered too complicated for implementation such as the asymptotically fastest algorithms for the basic handling of large-base permutation groups and for Sylow subgroup computations in arbitrary permutation groups. It also facilitates the basic handling of matrix groups. The data structure is general enough for the easy incorporation of any matrix group or permutation group algorithm code; in particular, the library functions of the GAP computer algebra system dealing with permutation groups and matrix groups work with a minimal modification." @default.
• W2020801138 created "2016-06-24" @default.
• W2020801138 creator A5001762342 @default.
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• W2020801138 date "2006-07-09" @default.
• W2020801138 modified "2023-10-18" @default.
• W2020801138 title "A data structure for a uniform approach to computations with finite groups" @default.
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• W2020801138 doi "https://doi.org/10.1145/1145768.1145811" @default.
• W2020801138 hasPublicationYear "2006" @default.
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