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Maximal Solvable Subgroups of Finite Classical Groups
Engelsk
Bogcover for Maximal Solvable Subgroups of Finite Classical Groups af Mikko Korhonen, 9783031629143
Specifikationer
Sprog:
Engelsk
Sider:
298
ISBN-13:
9783031629143
Indbinding:
Paperback
ISBN-10:
3031629140
Udg. Dato:
27 jul 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
27 jul 2024
Forfatter(e):

Maximal Solvable Subgroups of Finite Classical Groups

Engelsk
Paperback 2024
Format:

Bog beskrivelse

This book studies maximal solvable subgroups of classical groups over finite fields. It provides the first modern account of Camille Jordan''s classical results, and extends them, giving a classification of maximal irreducible solvable subgroups of general linear groups, symplectic groups, and orthogonal groups over arbitrary finite fields.

A subgroup of a group G is said to be maximal solvable if it is maximal among the solvable subgroups of G. The history of this notion goes back to Jordan’s Traité (1870), in which he provided a classification of maximal solvable subgroups of symmetric groups. The main difficulty is in the primitive case, which leads to the problem of classifying maximal irreducible solvable subgroups of general linear groups over a field of prime order. One purpose of this monograph is expository: to give a proof of Jordan’s classification in modern terms. More generally, 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, irreducible matrix groups, and related topics in group theory and representation theory. The detailed introduction will appeal to those interested in the historical background of Jordan’s work.

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Specifikationer
Sprog:
Engelsk
Sider:
298
ISBN-13:
9783031629143
Indbinding:
Paperback
ISBN-10:
3031629140
Udg. Dato:
27 jul 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
27 jul 2024
Forfatter(e):
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