Abstract
A group G is solvable if it admits a sequence of subgroups \(\left\{ {1_{G} } \right\} = G_{0} \le G_{1} \le \cdots G_{n} = G\) such that Gi−1 is normal in Gi and the corresponding quotient group Gi/Gi−1 is Abelian, for i = 1, 2, …, n.
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Ceccherini-Silberstein, T., D’Adderio, M. (2021). Solvable Groups. In: Topics in Groups and Geometry. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-88109-2_4
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DOI: https://doi.org/10.1007/978-3-030-88109-2_4
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