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Modeling Quantum Behavior in the Framework of Permutation Groups

open access: yesEPJ Web of Conferences, 2018
Quantum-mechanical concepts can be formulated in constructive finite terms without loss of their empirical content if we replace a general unitary group by a unitary representation of a finite group.
Kornyak Vladimir
doaj   +3 more sources

Permutation-Based Distances for Groups and Group-Valued Time Series [PDF]

open access: yesEntropy
Permutations on a set, endowed with function composition, build a group called a symmetric group. In addition to their algebraic structure, symmetric groups have two metrics that are of particular interest to us here: the Cayley distance and the Kendall ...
José M. Amigó, Roberto Dale
doaj   +2 more sources

Permutations of massive vacua [PDF]

open access: yesJournal of High Energy Physics, 2017
We discuss the permutation group G of massive vacua of four-dimensional gauge theories with N $$ \mathcal{N} $$ = 1 supersymmetry that arises upon tracing loops in the space of couplings. We concentrate on superconformal N $$ \mathcal{N} $$ = 4 and N $$ \
Antoine Bourget, Jan Troost
doaj   +5 more sources

The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 [PDF]

open access: yesInternational Journal of Group Theory, 2021
We calculate the character table of a sharply $5$-transitive subgroup of $\alter(12)$‎, ‎and of a sharply $4$-transitive subgroup of $\alter(11)$‎. ‎Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu
Nick Gill, Sam Hughes
doaj   +1 more source

Cubic Cayley graphs with small diameter. [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2001
In this paper we apply Polya's Theorem to the problem of enumerating Cayley graphs on permutation groups up to isomorphisms induced by conjugacy in the symmetric group.
Eugene Curtin
doaj   +3 more sources

Computing Minimal Generating Sets of Invariant Rings of Permutation Groups with SAGBI-Gröbner Basis [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2001
We present a characteristic-free algorithm for computing minimal generating sets of invariant rings of permutation groups. We circumvent the main weaknesses of the usual approaches (using classical Gröbner basis inside the full polynomial ring, or pure ...
Nicolas Thiéry
doaj   +1 more source

Application of a permutation group on sasirangan pattern

open access: yesDesimal, 2021
A permutation group is a group of all permutations of some set. If the set that forms a permutation group is the n-first of natural number, then a permutation group is called a symmetry group.
Na'imah Hijriati   +3 more
doaj   +1 more source

A class of symmetric difference-closed sets related to commuting involutions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
To appear in Volume 19 of DMTCS.
John Campbell
doaj   +1 more source

Some codes and designs invariant under the groups $S_7$ and $S_8$ [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they ...
Reza Kahkeshani
doaj   +1 more source

Permutation-based group sequential analyses for cognitive neuroscience

open access: yesNeuroImage, 2023
Cognitive neuroscientists have been grappling with two related experimental design problems. First, the complexity of neuroimaging data (e.g. often hundreds of thousands of correlated measurements) and analysis pipelines demands bespoke, non-parametric ...
John P. Veillette   +2 more
doaj   +1 more source

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