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.
Acknowledgments
The author is thankful to the referee for carefully reading the manuscript and providing valuable comments and suggestions which has greatly improved the presentation of the paper.