Titlebook: Maximal Solvable Subgroups of Finite Classical Groups; Mikko Korhonen Book 2024 The Editor(s) (if applicable) and The Author(s), under exc

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Book 2024erally, the aim is to generalize these results to classical groups over arbitrary finite fields, and to provide other results of interest related to irreducible solvable matrix groups...The text will be accessible to graduate students and researchers interested in primitive permutation groups, irred

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978-3-031-62914-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Maximal Solvable Subgroups of Finite Classical Groups978-3-031-62915-0Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Mikko KorhonenExtends Jordan’s results on maximal solvable subgroups.Discusses irreducible matrix groups, primitive permutation groups, and related topics.Suitable for graduate students and researchers in finite gr

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Basic Structure of Maximal Irreducible Solvable Subgroups,s a power of some prime .. We start with Sect. 2.1, where we will fix the basic notation used for the rest of the book, and provide some preliminary results. Then analogously to the case of symmetric groups, we will split the analysis of maximal irreducible solvable subgroups into two cases: the . case, and the . case.

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Metrically Primitive Maximal Irreducible Solvable Subgroups,. of isometries in .. In this chapter, we move on to the next step and identify a certain subgroup . such that . is abelian. We will then be able to complete the recursive description of the general structure of maximal irreducible solvable subgroups of ..

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Maximality of the Groups Constructed,rically completely reducible maximal solvable subgroups of . and .. Furthermore, in the case where . is even and . is a quadratic form, we will also classify metrically completely reducible maximal solvable subgroups of ..