WHEN DOES A RIGHT-ANGLED ARTIN GROUP SPLIT OVER Z? MATT CLAY Abstract. We show that a right-angled Artin group, defined by a graph Γ that has at least three vertices, does not split over an infinite cyclic subgroup if a

Source URL: www.comp.uark.edu

Right-angled Artin groups in the C diffeomorphism group of the real line

Source URL: users.math.yale.edu

CURRICULUM VITAE Ashot Minasyan Mathematical Sciences University of Southampton Highfield, Southampton SO17 1BJ, United Kingdom

Source URL: www.personal.soton.ac.uk

• Geometric group theory
• Combinatorics on words
• Relatively hyperbolic group
• Hyperbolic group
• Outer automorphism group
• Residually finite group
• Automorphism
• Artin group
• Mladen Bestvina
• Abstract algebra
• Group theory
• Mathematics

ON SUBGROUPS OF RIGHT ANGLED ARTIN GROUPS WITH FEW GENERATORS ASHOT MINASYAN Abstract. For each d ∈ N we construct a 3-generated group Hd , which is a subdirect product of free groups, such that the cohomological dimen

Source URL: www.personal.soton.ac.uk

• Geometric group theory
• Combinatorics on words
• HNN extension
• Artin group
• Presentation of a group
• Stallings theorem about ends of groups
• Amenable group
• Abstract algebra
• Group theory
• Algebra

Workshop Programme Yago Antolin University of Southampton “Mineyev’s proof of the Hanna Neumann Conjecture.” In this talk we present the Igor Mineyev’s proof of the Strengthened Hanna Neumann conjecture. This pro

Source URL: www.personal.soton.ac.uk

• Algebra
• Relatively hyperbolic group
• Hyperbolic group
• Bass–Serre theory
• Hanna Neumann conjecture
• Group
• Borel subgroup
• Artin group
• Stallings theorem about ends of groups
• Abstract algebra
• Group theory
• Geometric group theory

HEREDITARY CONJUGACY SEPARABILITY OF RIGHT ANGLED ARTIN GROUPS AND ITS APPLICATIONS ASHOT MINASYAN Abstract. We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this r

Source URL: www.personal.soton.ac.uk

• Residually finite group
• Conjugacy class
• Artin group
• Index of a subgroup
• HNN extension
• Profinite group
• Polycyclic group
• Normal subgroup
• Conjugacy problem
• Abstract algebra
• Algebra
• Group theory

ON CONJUGACY SEPARABILITY OF SOME COXETER GROUPS AND PARABOLIC-PRESERVING AUTOMORPHISMS PIERRE-EMMANUEL CAPRACE AND ASHOT MINASYAN Abstract. We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2)

Source URL: www.personal.soton.ac.uk

• Coxeter group
• Conjugacy class
• Direct product of groups
• Artin group
• Normal subgroup
• Residually finite group
• Borel subgroup
• Group action
• Deligne–Lusztig theory
• Abstract algebra
• Algebra
• Group theory

ON THE 2-CLASS FIELD TOWER OF A QUADRATIC NUMBER FIELD HELMUT KOCH 1. Introduction Let k = k (0,2) be a quadratic number field with discriminant ∆. For n ≥

Source URL: www.fen.bilkent.edu.tr

• Field theory
• Galois theory
• Quadratic field
• Algebraic number field
• Class field theory
• Ideal class group
• Kummer theory
• Galois group
• Artin reciprocity law
• Abstract algebra
• Algebra
• Algebraic number theory

SELMER GROUPS AND QUADRATIC RECIPROCITY FRANZ LEMMERMEYER Abstract. In this article we study the 2-Selmer groups of number fields F as well as some related groups, and present connections to the quadratic reciprocity law

Source URL: www.fen.bilkent.edu.tr

• Algebraic number theory
• Modular arithmetic
• Quadratic residue
• Class field theory
• Quadratic reciprocity
• Reciprocity law
• Selmer group
• Algebraic number field
• Artin reciprocity law
• Abstract algebra
• Mathematics
• Number theory

RESEARCH SUMMARY Past Research Overview Introduction. For over a hundred years number theory has been motivated by the study of Lseries, as first introduced by P. G. Lejeune Dirichlet [13] in the study of primes in arit

Source URL: www.math.purdue.edu

• Algebraic curves
• Modular forms
• Elliptic curve
• Group theory
• Artin L-function
• Algebraic number field
• Modular elliptic curve
• Number theory
• Abelian variety
• Abstract algebra
• Mathematics
• Analytic number theory