Results 1 to 10 of about 200,479 (255)
Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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GENERATING INFINITE SYMMETRIC GROUPS [PDF]
Bulletin of the London Mathematical Society, 2006 Let S=Sym( ) be the group of all permutations of an infinite set . Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n such that every element of S may be written as a group word, respectively a monoid word, of length \leq n in ...
George M. Bergman, M. Bergman
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Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
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Fluctuations of central measures on partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We study the fluctuations of models of random partitions $(\mathbb{P}_n,ω )_n ∈\mathbb{N}$ stemming from the representation theory of the infinite symmetric group.
Pierre-Loïc Mèliot
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Compact Lie Groups, Generalised Euler Angles, and Applications
Universe, 2022 This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
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On Generating Sets of Infinite Symmetric Group
Journal of Mathematical Sciences, 2023 It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criterion for generating by sets of this kind.
Semenov, A. V., Denisova, A. D.
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Point processes and the infinite symmetric group [PDF]
Mathematical Research Letters, 1998 This paper gives a short overview of the main results obtained in five preprints of the authors with the same title [\textit{G. Olshanski}, part I, http://arXiv.org/abs/math/9804086; \textit{A. Borodin}, part II, http://arXiv.org/abs/math/9804087; \textit{A. Borodin} and \textit{G.
Borodin, Alexei, Olshanski, Grigori
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Journal of High Energy Physics, 2021 The ultrashort unitary (4, 0) supermultiplet of 6d superconformal algebra OSp(8∗|8) reduces to the CPT-self conjugate supermultiplet of 4d superconformal algebra SU(2, 2|8) that represents the fields of maximal N = 8 supergravity. The graviton in the (4,
Murat Günaydin
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Subgroups of Infinite Symmetric Groups
Journal of the London Mathematical Society, 1990 Various questions are discussed on the subgroup structure of \(S:=Sym(\Omega)\), where \(\Omega\) is an infinite set. It is shown that S is not the union of a chain of size \(| \Omega |\) of proper subgroups, and results are obtained on the size of the smallest families of proper subgroups with set-theoretic union S.
Macpherson, H, Neumann, P
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Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 Matrix representations of finite semigroups over fields are studied not so well as for finite groups. Representations of finite groups over fields are studied sufficiently well; in particular, the criterions of representation type are fully defined for ...
В. М. Бондаренко +1 more
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