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- W4256475680 abstract "A polycyclic group [Formula: see text] is called a [Formula: see text]-group ([Formula: see text]-group) if every normal abelian subgroup (abelian subgroup) of any finite quotient of [Formula: see text] is generated by [Formula: see text], or fewer, elements and [Formula: see text] is the least integer with this property. In this paper, we describe the structures of [Formula: see text]-groups and [Formula: see text]-groups, and bound the number of generators of [Formula: see text]-groups and the derived lengths of [Formula: see text]-groups, which is a continuation of [H. G. Liu, F. Zhou and T. Xu, On some polycyclic groups with small Hirsch length, J. Algebra Appl. 16(11) (2017) 17502371–175023710]." @default.
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- W4256475680 date "2019-07-17" @default.
- W4256475680 modified "2023-09-27" @default.
- W4256475680 title "On some polycyclic groups with small Hirsch length II" @default.
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- W4256475680 doi "https://doi.org/10.1142/s021949881950169x" @default.
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