Beauville surfaces and groups. ([2015])

• Record Type: Book
• Further Information: Note: Ingrid Bauer, Shelly Garion, Alina Vdovina, editors.
• Editors: Bauer, Ingrid C, 1967-; Garion, Shelly; Vdovina, Alina
• Other Names: Beauville Surfaces and Groups
• Contents: Introduction; The Fundamental Group and Torsion Group of Beauville Surfaces; 1 Introduction; 2 Product-Quotient Surfaces; 3 The Fundamental Group; 4 Some Applications; References; Regular Algebraic Surfaces, Ramification Structures and Projective Planes; 1 Introduction; 2 Ramification Structures and Associated Surfaces; 2.1 Group Theoretical Structures; 2.2 From Ramification Structures to Algebraic Surfaces; 3 Groups with Special Presentations; 3.1 Ramification Structures for the Group in [15, Example 6.3]; 3.2 Ramification Structures for the Groups in [11, Example 3.3] 3.3 Ramification Structures for the Group in [15, Example 6.4]3.4 Ramification Structures for the Groups of Theorem 3.1 with qge4; 3.5 Ramification Structures for the Group in [18, Example 2]; References; A Survey of Beauville p-Groups; 1 Introduction; 2 Definitions; 2.1 Beauville Structures; 2.2 p-Groups; 3 Beauville Groups in O'Brien Trees; 3.1 An Example; 3.2 Infinite Paths Through the O'Brien Trees; 4 Beauville Groups of Small Order; References; Strongly Real Beauville Groups; 1 Introduction; 2 The Finite Simple Groups; 3 Characteristically Simple Groups. 4 The Symmetric and Alternating Groups5 Almost Simple Groups; 6 Nilpotent Groups; References; Beauville Surfaces and Probabilistic Group Theory; 1 Beauville Surfaces and Beauville Structures; 2 Beauville Surfaces and Finite Simple Groups; 3 Hyperbolic Triangle Groups and Their Finite Quotients; 4 Beauville Structures for the Group `39`42`""613A``45`47`""603APSL2(q); 4.1 Sketch of the Proof of Theorem 10; 4.2 Proof of Theorem 7; 5 Beauville Structures for Finite Simple Groups; 5.1 Choosing Disjoint Conjugacy Classes; 5.2 Frobenius Formula and Witten's Zeta Function. 4 Beauville Structures in Cartesian Powers5 The Groups L2(q); 6 Counting Triples; 7 The Suzuki Groups; 8 The Small Ree Groups; 9 The Sporadic Simple Groups; 9.1 The Mathieu Groups; 9.2 Other Small Sporadic Simple Groups; 9.3 The Larger Sporadic Simple Groups; 10 The Groups L3(q) and U3(q); 10.1 L3(q); 10.2 U3(q); References; Remarks on Lifting Beauville Structures of Quasisimple Groups ; 1 Introduction; 2 Frattini Covers of Beauville Groups; 3 Semidirect Products with Beauville Structures; 4 Questions; References.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource, illustrations
• Subjects: 516.3/52; Mathematics; Surfaces, Algebraic -- Congresses; Geometry, Algebraic -- Congresses; Group theory -- Congresses; MATHEMATICS -- Geometry -- General; Geometry, Algebraic; Group theory; Surfaces, Algebraic; Mathematics -- Algebra -- Abstract; Mathematics -- Number Theory; Groups & group theory; Number theory; Geometry, algebraic; Group theory; Number theory; Mathematics -- Geometry -- Algebraic; Algebraic geometry; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319138626; 3319138626; 3319138618; 9783319138619
• Related ISBNs: 9783319138619
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed April 23, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.