登入選單

返回Google圖書搜尋

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

Daniela BubboloniPablo SpigaThomas Stefan Weigel

出版	Springer Nature, 2024
ISBN	30316234879783031623486
URL	http://books.google.com.hk/books?id=SYYVEQAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

Zusammenfassung: 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,