Bounds on multiplicities of symmetric pairs of finite groups
Forum of Mathematics, SigmaLet $\Gamma $ be a finite group, let $\theta $ be an involution of $\Gamma $ and let $\rho $ be an irreducible complex representation of $\Gamma $ .
Avraham Aizenbud, Nir Avni
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Transformations of the Hypergeometric 4F3 with One Unit Shift: A Group Theoretic Study
Mathematics, 2020 We study the group of transformations of 4F3 hypergeometric functions evaluated at unity with one unit shift in parameters. We reveal the general form of this family of transformations and its group property. Next, we use explicitly known transformations
Dmitrii Karp, Elena Prilepkina
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Classification of four-point local gluon S-matrices
Journal of High Energy Physics, 2021 In this paper, we classify four-point local gluon S-matrices in arbitrary dimensions. This is along the same lines as [1] where four-point local photon S-matrices and graviton S-matrices were classified.
Subham Dutta Chowdhury, Abhijit Gadde
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On group structures of strategic-form games
Fundamental ResearchThere are two recognized classes of strategic-form symmetric games, both of which can be conveniently defined through the corresponding player symmetry groups. We investigate the basic properties of these groups and several related concepts.
Zhigang Cao +3 more
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Symmetric generating set of the groups A2n+1 and S2n+1 using Sn and an element of order two
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper we will show how to generate in general A2n+1 and S2n+1 using a copy of Sn and an element of order 2 in A2n+1 or S2n+1 for all positive integers n≥2.
A. M. Hammas
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On the lattice of pronormal subgroups of dicyclic, alternating and symmetric groups [PDF]
Mathematica BohemicaIn this paper, the structures of collection of pronormal subgroups of dicyclic, symmetric and alternating groups $G$ are studied in respect of formation of lattices ${\rm L}(G)$ and sublattices of ${\rm L}(G)$.
Shrawani Mitkari, Vilas Kharat
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Invariance groups of finite functions and orbit equivalence of permutation groups
Open Mathematics, 2015 Which subgroups of the symmetric group Sn arise as invariance groups of n-variable functions defined on a k-element domain? It appears that the higher the difference n-k, the more difficult it is to answer this question.
Horváth Eszter K. +3 more
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Inferring symmetric and asymmetric interactions between animals and groups from positional data.
PLoS ONE, 2018 Interactions between domestic and wild species has become a global problem of growing interest. Global Position Systems (GPS) allow collection of vast records of time series of animal spatial movement, but there is need for developing analytical methods ...
Edward Hollingdale +2 more
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Improved covering results for conjugacy classes of symmetric groups via hypercontractivity
Forum of Mathematics, SigmaWe study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller +2 more
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Ego-zones: non-symmetric dependencies reveal network groups with large and dense overlaps
Applied Network Science, 2019 The existence of groups of nodes with common characteristics and the relationships between these groups are important factors influencing the structures of social, technological, biological, and other networks.
Milos Kudelka +3 more
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