Computing the order and the index of a subgroup in a polycyclic group
published by Bettina Eick
in 2021
and research's language is
English
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Abstract in English
This contains a new version of the so-called non-commutative Gauss algorithm for polycyclic groups. Its results allow to read off the order and the index of a subgroup in an (possibly infinite) polycyclic group.