Results 11 to 20 of about 738,621 (286)
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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Symmetric presentations of Coxeter groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2011 AbstractWe apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of typesAn,DnandEn, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups.
Ben Fairbairn +7 more
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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
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Symmetric difference in abelian groups [PDF]
Pacific Journal of Mathematics, 1978 A groupoid 21 = ζA; *> is called a left (resp. right) difference group if there is a binary operation + in A such that the system is an abelian group and x*y — —x + y (resp. x * y = x ~ y). A symmetric difference group is a groupoid satisfying all the identities common to both left and right difference groups.
Grätzer, G., Padmanabhan, R.
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Mesomorphic Behavior of Symmetric Azomethine Dimers Containing Different Chromophore Groups
Molecules, 2021 A series of new azomethine dimers was synthesized by the condensation reaction of flexible bis-benzaldehydes with four aromatic amines containing phenyl, naphthyl, anthracene and pyrene groups.
Elena Perju, Luminita Marin
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An algorithm for generating permutation algebras using soft spaces
Journal of Taibah University for Science, 2018 Soft set theory has recently gained significance for finding rational and logical solutions to various real-life problems, which involve uncertainty, impreciseness and vagueness.
Shuker Mahmood Khalil +1 more
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Permutation codes over Sylow 2-subgroups $Syl_2(S_{2^n})$ of symmetric groups $S_{2^n}$
Researches in Mathematics, 2021 The permutation code (or the code) is well known object of research starting from 1970s. The code and its properties is used in different algorithmic domains such as error-correction, computer search, etc.
V.A. Olshevska
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Invariants in Non-Commutative Variables of the Symmetric and Hyperoctahedral Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We consider the graded Hopf algebra $NCSym$ of symmetric functions with non-commutative variables, which is analogous to the algebra $Sym$ of the ordinary symmetric functions in commutative variables.
Anouk Bergeron-Brlek
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Сучасний стан наукових досліджень та технологій в промисловості, 2022 The object of the study is the processes of building groups of symmetric double-operand operations of cryptographic coding of information. The subject of the study are features of the implementation of a generalized method of synthesis groups of ...
Nataliia Lada, Yuliia Rudnytska
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Factorization of groups involving symmetric and alternating groups
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain the structure of finite groups of the form G=AB where B is a group isomorphic to the symmetric group on n letters Sn, n≥5 and A is a group isomorphic to the alternating group on 6 letters.
M. R. Darafsheh, G. R. Rezaeezadeh
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