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removed the deprecated (abstract-algebra) tag; see the tag-info: https://mathoverflow.net/tags/abstract-algebra/info
Martin Sleziak
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structure of finite polycyclic groups

We know that every finite nilpotent group is written as a direct product of its Sylow subgroups. My question is : can we write finite polycyclic groups as a direct product of some subgroups? if the answer was yes then characterize those subgroups.