New algorithms for testing nilpotency and answering structural questions about nilpotent matrix groups over infinite fields are developed and implemented in GAP and MAGMA.
Bialostocki, The nilpotency class of the p -Sylow subgroups of GL(n, q) where (p, q) = 1 , Canad
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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.