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Unipotent Radicals, One-dimensional Transitive Groups, and Solvable Factors of Classical Groups by Feng, Tao; Li, Cai Heng; Li, Conghui; Wang, Lei; Xia, Binzhou; Zou, Hanlin is a scholarly article available to read on EtoBox.

What is Unipotent Radicals, One-dimensional Transitive Groups, and Solvable Factors of Classical Groups about?

By developing a tangible way to decompose unipotent radicals into irreducible submodules of Singer cycles, we achieve a classification of solvable factors of finite classical groups of Lie type. This completes previous work on factorizations of classical groups with a solvable factor. In particular, it resolves the final uncertain case in the long-standing problem of determining exact factorizations of almost simple groups. As a byproduct of the classification, we also obtain a new characterization of one-dimensional transitive groups, offering further insights into their group structure.

Author

Feng, Tao; Li, Cai Heng; Li, Conghui; Wang, Lei; Xia, Binzhou; Zou, Hanlin

Published

2024

Language

EN