Titlebook: Characters and Blocks of Solvable Groups; A User’s Guide to La James Cossey,Yong Yang Book 2024 The Editor(s) (if applicable) and The Autho

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DALLY

正式通知

https://doi.org/10.1007/978-3-031-50706-9Solvable Groups; Character Theory; Blocks of Finite Groups; Representations of Finite Groups; Large Orbi

反叛者

978-3-031-50708-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

偏狂癥

Regular Orbits in the Quasiprimitve Casesee our first of several important results bounding the size of certain fixed point subspaces, and we see how to use those bounds to generate regular orbits. We end with a discussion of the work of the second author that classifies the solvable primitive groups that do not have regular orbits.

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掙扎

男生戴手銬

玉米棒子

F. Hoffmann,B. Weigel,S. CoenenIn this chapter we cover some of the fundamentals of module theory we will need. Many results are included without proof. However, we do include a detailed proof of a result of Gaschütz which will be used throughout.

Constrain

https://doi.org/10.1007/978-3-642-10789-4Here we look at extraspecial groups, their representations, and their connection to symplectic actions. We discuss in some detail Hall’s important result that characterizes p-groups for which every abelian characteristic subgroup is cyclic. These results will allow us to begin our study of quasiprimitive groups in the next chapters.