Exotic Cyclic Group Actions on Smooth 4-Manifolds Ronald J. Stern University of California, Irvine April 25, 2009

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Homework 6 √ 1. Does there exist a normal extension L ⊃ Q( 3) ⊃ Q with cyclic Galois group Gal(L/Q) = Z/4Z? 2. Determine all subfields of Q(ζ11 ).

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31 Documenta Math. How Frequent Are Discrete Cyclic Subgroups of Semisimple Lie Groups?

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• Lie groups
• Algebra
• Abstract algebra
• Mathematical analysis
• Maximal compact subgroup
• Lie algebra
• Topological group
• Zonal spherical function
• Plancherel theorem for spherical functions

Math 8246 Homework 1 PJW Date due: Monday February 15, 2016. We will discuss these questions on Wednesday µ

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• Algebra
• Abstract algebra
• Mathematics
• Homological algebra
• Group theory
• Module theory
• Additive categories
• Exact sequence
• Cyclic group
• Module homomorphism
• Module
• Group extension

WIEFERICH PAST AND FUTURE NICHOLAS M. KATZ 1. The early history Fermat’s Last Theorem (FLT) is the assertion that for n ≥ 3, the equation X n + Y n = Z n has no solutions in integers X, Y, Z with XY Z 6= 0. It was pr

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• Mathematics
• Algebra
• Abstract algebra
• Group theory
• Wieferich prime
• Elliptic curve
• Quotient group
• Prime number
• XTR
• Index of a subgroup
• Cyclic group
• Wieferich pair

Elements and cyclic subgroups of finite order of the Cremona group J´er´emy Blanc April 12, 2009 Abstract We give the classification of elements – respectively cyclic subgroups –

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• Algebra
• Mathematics
• Abstract algebra
• Group theory
• Finite groups
• Projective geometry
• Conjugacy class
• Lie groups
• Covering space
• Elliptic curve
• Direct product of groups
• Sylow theorems

CUBULATING HYPERBOLIC FREE-BY-CYCLIC GROUPS: THE GENERAL CASE MARK F. HAGEN AND DANIEL T. WISE Abstract. Let Φ ∶ F → F be an automorphism of the finite-rank free group F . Suppose that G = F ⋊Φ Z is word-hyperbol

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• Geometric group theory
• Geometric topology
• Train track map
• Orbifold
• Normal coordinates

CUBULATING HYPERBOLIC FREE-BY-CYCLIC GROUPS: THE IRREDUCIBLE CASE MARK F. HAGEN AND DANIEL T. WISE Abstract. Let V be a nite graph and let φ : V → V be an irreducible train track map whose mapping torus has word-hype

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• Geometric group theory
• Geometric topology
• Train track map
• Free group
• Universal property
• Dynamical system
• Fiber bundle
• Orbifold
• Linear temporal logic

Group orders, dynamics and rigidity Kathryn Mann and Crist´obal Rivas 1 Introduction

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• Group theory
• Circles
• Combinatorics
• Cyclic order
• Order theory
• Homeomorphism
• Foliation
• Group action

PHYSICAL REVIEW E 89, From pairwise to group interactions in games of cyclic dominance Attila Szolnoki,1 Jeromos Vukov,1 and Matjaˇz Perc2 1

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