Constructs a primitive action of ^3D_4(2) of degree 4064256 in which some pair of points is not joined by any derangement, negatively answering Thompson's Problem 8.75.
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New algorithms for testing nilpotency and answering structural questions about nilpotent matrix groups over infinite fields are developed and implemented in GAP and MAGMA.
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On transitive sets of derangements in primitive groups
Constructs a primitive action of ^3D_4(2) of degree 4064256 in which some pair of points is not joined by any derangement, negatively answering Thompson's Problem 8.75.
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Algorithms for computing with nilpotent matrix groups over infinite domains
New algorithms for testing nilpotency and answering structural questions about nilpotent matrix groups over infinite fields are developed and implemented in GAP and MAGMA.