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Titlebook: Normal 2-Coverings of the Finite Simple Groups and their Generalizations; Daniela Bubboloni,Pablo Spiga,Thomas Stefan Weigel Book 2024 The

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发表于 2025-3-25 05:35:49 | 显示全部楼层
Daniela Bubboloni,Pablo Spiga,Thomas Stefan WeigelProvides the first comprehensive classification of normal 2-coverings of non-abelian‘simple groups.The first reference book to collect and consolidate existing research on normal‘2-coverings and their
发表于 2025-3-25 08:58:33 | 显示全部楼层
Introduction,ering number of the almost simple groups. Some applications: the invariably generating graph and the Aut-invariably generating graph; the Erdős–Ko–Rado theorem and the derangement graph; the Boston–Shalev conjecture; normal 2-coverings for arbitrary finite groups; normal coverings and Kronecker classes.
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Preliminaries,Normal and weak normal coverings of classical and simple classical groups; Huppert’s Theorem and Singer cycles; primitive prime divisors and .-elements; Bertrand elements; the spinor norm and the Bertrand elements.
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Linear Groups,Weak normal 2-covering and normal coverings of linear groups.
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Symplectic Groups,Weak normal 2-covering and normal coverings of symplectic groups.
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Orthogonal Groups with Witt Defect 1,Weak normal 2-covering and normal coverings of orthogonal groups with Witt defect
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Orthogonal Groups with Witt Defect 0,Weak normal 2-covering and normal coverings of orthogonal groups with Witt defect 0.
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Proofs of the Main Theorems,Proofs of the main theorems of the book.
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