"group" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- The terminology arises from the solvable groups of abstract group theory.
- Many years ago this problem was solved for solvable groups.
- A small example of a solvable, non-nilpotent group is the symmetric group S.
- A solvable group is one whose derived series reaches the trivial subgroup at a finite stage.
- Furthermore, it follows that all solvable groups are amenable.
- In fact, they are precisely the solvable groups of derived length at most 2.
- These can be particularly useful in the study of solvable groups and nilpotent groups.
- This is a solvable group of order 1152.
- By contrast, for a solvable group the definition requires each quotient to be abelian.
- The fact plays a crucial role in the structure theory of solvable groups.
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