01530nam 2200469Ia 450 991071129030332120180711120957.0GOVPUB-C13-b785d3b3809286af66798b7b2e551eca(CKB)5470000002481114(OCoLC)959982557(OCoLC)995470000002481114(EXLCZ)99547000000248111420161006d1952 ua 0engtxtrdacontentcrdamediacrrdacarrierOn Fejer sets in linear and spherical spaces /T.S. Motzkin, I.J. SchoenbergGaithersburg, MD :U.S. Dept. of Commerce, National Institute of Standards and Technology,1952.1 online resourceNBS report ;19021952.Contributed record: Metadata reviewed, not verified. Some fields updated by batch processes.Title from PDF title page.Includes bibliographical references.Metric spacesMetric spacesfastMetric spaces.Metric spaces.Motzkin T. S1416602Motzkin T. S1416602Schoenberg I. J58484United States.National Bureau of Standards.NBSNBSOCLCOOCLCFOCLCQBOOK9910711290303321On Fejer sets in linear and spherical spaces3522490UNINA03407nam 22005895 450 991087468950332120250807152924.0978303162348610.1007/978-3-031-62348-6(CKB)33388295200041(MiAaPQ)EBC31552528(Au-PeEL)EBL31552528(DE-He213)978-3-031-62348-6(PPN)279809999(EXLCZ)993338829520004120240723d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierNormal 2-Coverings of the Finite Simple Groups and their Generalizations /by Daniela Bubboloni, Pablo Spiga, Thomas Stefan Weigel1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (182 pages)Lecture Notes in Mathematics,1617-9692 ;23529783031623479 - Introduction -- Preliminaries -- Linear groups -- Unitary groups -- Symplectic groups -- Odd dimensional orthogonal groups -- Orthogonal groups with Witt defect 1 -- Orthogonal groups with Witt defect 0 -- Proofs of the main theorems -- Almost simple groups having socle a sporadic simple group -- Dropping the maximality -- Degenerate normal 2-coverings.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,.Lecture Notes in Mathematics,1617-9692 ;2352Group theoryDiscrete mathematicsGraph theoryGroup Theory and GeneralizationsApplications of Discrete MathematicsGraph TheoryGroup theory.Discrete mathematics.Graph theory.Group Theory and Generalizations.Applications of Discrete Mathematics.Graph Theory.512.2Bubboloni Daniela1749576Spiga Pablo1367250Weigel Thomas Stefan1749577MiAaPQMiAaPQMiAaPQ9910874689503321Normal 2-Coverings of the Finite Simple Groups and Their Generalizations4183846UNINA