Abstract

In 1969, Seitz proved that every finite solvable group can be (isomorphically) embedded in a monomial group with the same derived length (fitting length, supersolvable length). In this paper, it is proved that every finite solvable group can in fact be embedded in a generalized strongly monomial group with the same derived length (fitting length, supersolvable length). This shows the vastness of the class of generalized strongly monomial groups.

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