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Normal 2-Coverings of the Finite Simple Groups and their Generalizations
Engelsk
Bogcover for Normal 2-Coverings of the Finite Simple Groups and their Generalizations af Pablo Spiga, Thomas Stefan Weigel, Daniela Bubboloni, 9783031623479
Specifikationer
Sprog:
Engelsk
Sider:
180
ISBN-13:
9783031623479
Indbinding:
Paperback
ISBN-10:
3031623479
Kategori:
Udg. Dato:
23 jul 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
23 jul 2024

Normal 2-Coverings of the Finite Simple Groups and their Generalizations

Engelsk
Paperback 2024
Format:

Bog beskrivelse

This book provides a complete and comprehensive classification of normal 2-coverings of non-abelian simple groups and their generalizations. While offering readers a thorough understanding of these structures, and of the groups admitting them, it delves into the properties of weak normal coverings. The focal point is the weak normal covering number of a group G, the minimum number of proper subgroups required for every element of G to have a conjugate within one of these subgroups, via an element of Aut(G). This number is shown to be at least 2 for every non-abelian simple group and the non-abelian simple groups for which this minimum value is attained are classified. The discussion then moves to almost simple groups, with some insights into their weak normal covering numbers.  Applications span algebraic number theory, combinatorics, Galois theory, and beyond. Compiling existing material and synthesizing it into a cohesive framework, the book gives a complete overview of this fundamental aspect of finite group theory. It will serve as a valuable resource for researchers and graduate students working on non-abelian simple groups,

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Specifikationer
Sprog:
Engelsk
Sider:
180
ISBN-13:
9783031623479
Indbinding:
Paperback
ISBN-10:
3031623479
Kategori:
Udg. Dato:
23 jul 2024
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
23 jul 2024
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