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Generation of groups of square-free order. - MaRDI portal

Generation of groups of square-free order. (Q2455751)

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Generation of groups of square-free order.
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    Generation of groups of square-free order. (English)
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    26 October 2007
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    Algorithms to deal fast and comprehensively with groups of square-free order are presented, aiming to support the following operations: count, list, build and identify. The presentation is nicely illustrated by examples and the timings are discussed: the time depends heavily on the chosen power-conjugate presentation (the shortest and the longest time differ by a factor of 100 for a sample of twenty randomly chosen presentations of the same group).
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    finite group databases
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    groups of square-free order
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    algorithms
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    numbers of groups
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    power-conjugate presentations
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