9. Modular and Semimodular Lattices To dance beneath the diamond sky with one hand waving free ... –Bob Dylan The modular law was invented by Dedekind to reflect a crucial property of the lattice of subgroups of an ab

Source URL: www.math.hawaii.edu

M9 -free groups Juliane P¨olzing and Rebecca Waldecker Abstract We give a characterisation of all finite groups whose subgroup lattice does not contain a sublattice isomorphic to M9 .

Source URL: conway1.mathematik.uni-halle.de

6. Free Lattices Freedom’s just another word for nothing left to lose .... –Kris Kristofferson If x, y and z are elements of a lattice, then x ∨ (y ∨ (x ∧ z)) = x ∨ y is always true, while x ∨ y = z is usu

Source URL: www.math.hawaii.edu

Reducing the Representation Complexity of Lattice-Based Taxonomies Sergei Kuznetsov1,2 , Sergei Obiedkov1,2 , and Camille Roth3,4 1 Higher School of Economics, Moscow, Russia

Source URL: camille.roth.free.fr

• Algebra
• Mathematics
• Abstract algebra
• Lattice theory
• Data mining
• Formal concept analysis
• Machine learning
• Ontology
• Lie groups
• Lattice
• Dual
• Algebraic structure

On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs Edward Boehnlein Let La(n, H) denote the cardinality of the largest family on the Boolean lattice that does not contain H as a subposet.

Source URL: www.gradschool.sc.edu

• Graph theory
• Bipartite graph
• Random graph
• Almost surely
• Hypergraphs

ON GENERATORS OF CRYSTALLOGRAPHIC GROUPS AND ACTIONS ON FLAT ORBIFOLDS A. ADEM∗ , K. DEKIMPE† , N. PETROSYAN∗∗ , AND B. PUTRYCZ† Abstract. We find new bounds on the minimal number of generators of crystallograp

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

• Finite groups
• Lie groups
• Differential geometry
• Group theory
• Differential topology
• Orbifold
• Holonomy
• Lattice
• Space group
• Valuation ring
• Free abelian group
• Torsion

Joint US-CERN-Japan-Russia School on Particle Accelerators Course on Synchrotron Radiation and Free Electron Lasers Erice, Sicily, April 2011 Storage Ring Design Part 2:

Source URL: cas.web.cern.ch

• Accelerator physics
• Storage ring
• Dipole
• Lattice constant
• Synchrotron light source
• Lattice
• Quadrupole
• Synchrotron
• Beam emittance
• ChasmanGreen lattice

Lifters, free sets, ladders The Conc functor k-ladders

Source URL: spot.colorado.edu

• Lattice theory
• Mathematics
• Algebraic structures
• Structure
• Semilattice
• Distributive lattice
• Lattice
• Functor
• Congruence lattice problem
• Distributive homomorphism

Maximal Lattice-free Convex sets in 3 Dimensions Amitabh Basu ∗ Tepper School of Business, Carnegie Mellon University, Pittsburgh, PAG´erard Cornu´ejols † Tepper School of Business, Car

Source URL: www.ams.jhu.edu

Maximal lattice-free convex sets in linear subspaces Amitabh Basu Carnegie Mellon University email: Michele Conforti

Source URL: www.ams.jhu.edu