Results 61 to 70 of about 1,034,541 (233)

Classification of irreducible based modules over the complex representation ring of $ S_4 $

AIMS Mathematics
The complex representation rings of finite groups are the fundamental class of fusion rings, categorified by the corresponding fusion categories of complex representations.
Wenxia Wu, Yunnan Li
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Symmetric groups and conjugacy classes [PDF]

Journal of Group Theory, 2008
Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $ , \in S_n$, we prove that the product $ ^{S_n} ^{S_n}$ of the conjugacy classes $ ^{S_n}$ and $ ^{S_n}$ is never a conjugacy class. Furthermore, if n is not even and $n$ is not a multiple of three, then $ ^{S_n} ^{S_n}$ is the union of at least three distinct ...
Adan-Bante, Edith, Verrill, Helena
openaire   +3 more sources

Central limit theorem in the symmetric group

Lietuvos Matematikos Rinkinys, 1999
In this work we investigate a rate of convergence of sums of random variables defined on a symetric group Sn, when the probability measure on Sn is defined by the Ewens sampling formula with parameter θ. Using the results obtained by E.
Vytas Zacharovas
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Heat Kernel on Lie Groups and Maximally Symmetric Spaces [PDF]

, 2023
Ivan G. Avramidi
openalex   +1 more source

S-Boxes Construction Based on the Cayley Graph of the Symmetric Group for UASNs

IEEE Access, 2019
Modern block ciphers can be used for designing security schemes to meet the security requirements in underwater acoustic sensor networks. The substitution boxes (S-boxes) used in block ciphers must have good cryptographic properties to resist various ...
Li Shuai, Lina Wang, Li Miao, Xianwei Zhou   +3 more
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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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Symmetric Units and Group Identities in Group Algebras [PDF]

, 2006
We describe those group algebras over fields of characteristic different from 2 whose units symmetric with respect to the classical involution, satisfy some group ...
Bódi, Viktor
core   +3 more sources

Asymptotic distributions of the number of restricted cycles in a random permutation

Lietuvos Matematikos Rinkinys, 2009
The value distribution of additive functions defined on the symmetric group with respect to the Ewens probability is examined. For the number of cycles with restricted lengths, we establish necessary and sufficient conditions under which the ...
Tatjana Kargina
doaj   +1 more source

The model-specific Markov embedding problem for symmetric group-based models. [PDF]

J Math Biol, 2021
Ardiyansyah M, Kosta D, Kubjas K.
europepmc   +1 more source

On Multiple Polynomials of Capelli Type [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
This paper deals with the class of Capelli polynomials in free associative algebra F{Z} (where F is an arbitrary field, Z is a countable set) generalizing the construction of multiple Capelli polynomials.
S.Y. Antonov, A.V. Antonova
doaj