Publications related to Cayley's theorem

Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms

Given a transitive permutation group, a fundamental object for studying its higher transitivity properties is the permutation action of its isotropy subgroup. We reverse this relationship and introduce a universal construction of infinite permutation group ...

POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN2019

Technical note: Relating functional group measurements to carbon types for improved model-measurement comparisons of organic aerosol composition

Satoshi Takahama, Giulia Ruggeri

Functional group (FG) analysis provides a means by which functionalization in organic aerosol can be attributed to the abundances of its underlying molecular structures. However, performing this attribution requires additional, unobserved details about the ...

Copernicus GmbH2017

Model-measurement comparison of functional group abundance in α-pinene and 1,3,5-trimethylbenzene secondary organic aerosol formation

Satoshi Takahama, Giulia Ruggeri, Fabian Alexander Bernhard

Secondary organic aerosol (SOA) formed by alpha-pinene and 1,3,5-trimethylbenzene photooxidation under different NOx regimes is simulated using the Master Chemical Mechanism v3.2 (MCM) coupled with an absorptive gas-particle partitioning module. Vapor pres ...

Copernicus GmbH2016

Technical Note: Development of chemoinformatic tools to enumerate functional groups in molecules for organic aerosol characterization

Satoshi Takahama, Giulia Ruggeri

Functional groups (FGs) can be used as a reduced representation of organic aerosol composition in both ambient and controlled chamber studies, as they retain a certain chemical specificity. Furthermore, FG composition has been informative for source apport ...

Copernicus GmbH2016

A Composition Theorem for Conical Juntas

Mika Tapani Göös

We describe a general method of proving degree lower bounds for conical juntas (nonnegative combinations of conjunctions) that compute recursively defined boolean functions. Such lower bounds are known to carry over to communication complexity. We give two ...

Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany2016

The Minimal Faithful Permutation Degree For A Direct Product Obeying An Inequality Condition

Neil John Saunders

The minimal faithful permutation degree (G) of a finite group G is the least nonnegative integer n such that G embeds in the symmetric group Sym(n). Clearly (G x H) (G) + (H) for all finite groups G and H. In 1975, Wright ([10]) proved that equality occurs ...

Taylor & Francis Inc2016

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Eva Bayer Fluckiger, Daniel Arnold Moldovan

We prove that the category of systems of sesquilinear forms over a given hermitian category is equivalent to the category of unimodular 1-hermitian forms over another hermitian category. The sesquilinear forms are not required to be unimodular or defined o ...

Pacific Journal Mathematics2014

Zero-temperature Monte Carlo study of the noncoplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice

Frédéric Mila, Karlo Penc, Sandro Wenzel

We investigate the ground-state properties of the highly degenerate noncoplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice with Monte Carlo simulations. For that purpose, we introduce an Ising pseudospin represen ...

2013

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Cayley's theorem

Chemical characterization of organic aerosols with a focus on biomass burning and mid-infrared spectroscopy

Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms

Technical note: Relating functional group measurements to carbon types for improved model-measurement comparisons of organic aerosol composition

Model-measurement comparison of functional group abundance in α-pinene and 1,3,5-trimethylbenzene secondary organic aerosol formation

Technical Note: Development of chemoinformatic tools to enumerate functional groups in molecules for organic aerosol characterization

A Composition Theorem for Conical Juntas

The Minimal Faithful Permutation Degree For A Direct Product Obeying An Inequality Condition

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Zero-temperature Monte Carlo study of the noncoplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice

Degeneracy and ordering of the noncoplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice

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Chat with Graph Search

Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms

Chemical characterization of organic aerosols with a focus on biomass burning and mid-infrared spectroscopy

Technical Note: Development of chemoinformatic tools to enumerate functional groups in molecules for organic aerosol characterization

Model-measurement comparison of functional group abundance in α-pinene and 1,3,5-trimethylbenzene secondary organic aerosol formation

A Composition Theorem for Conical Juntas

The Minimal Faithful Permutation Degree For A Direct Product Obeying An Inequality Condition

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Zero-temperature Monte Carlo study of the noncoplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice

Degeneracy and ordering of the noncoplanar phase of the classical bilinear-biquadratic Heisenberg model on the triangular lattice