Results 21 to 30 of about 743,335 (330)

Permutation codes over Sylow 2-subgroups $Syl_2(S_{2^n})$ of symmetric groups $S_{2^n}$

open access: yesResearches 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
doaj   +1 more source

Factorization of groups involving symmetric and alternating groups

open access: yesInternational 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
doaj   +1 more source

Invariants in Non-Commutative Variables of the Symmetric and Hyperoctahedral Groups [PDF]

open access: yesDiscrete 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
doaj   +1 more source

IMPLEMENTATION OF A METHOD FOR SYNTHESIZING GROUPS OF SYMMETRIC DOUBLE-OPERAND OPERATIONS OF CRYPTOGRAPHIC INFORMATION CODING FOR BLOCK ENCRYPTION SYSTEMS

open access: yesСучасний 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
doaj   +1 more source

Homogenous finitary symmetric groups [PDF]

open access: yesInternational Journal of Group Theory, 2015
We characterize strictly diagonal type of embeddings of finitary symmetric groups in terms of cardinality and the characteristic. Namely, we prove the following. Let kappa be an infinite cardinal. If G=underseti=1stackrelinftybigcupG i , where G i =
Otto‎. ‎H‎. Kegel   +1 more
doaj  

SOFT INTERSECTION-SYMMETRIC DIFFERENCE PRODUCT OF GROUPS [PDF]

open access: yesMatrix Science Mathematic
Soft set theory constitutes a mathematically robust and structurally versatile formalism for modeling real-world systems characterized by epistemic uncertainty, vagueness, and parameter-contingent variability—ubiquitous features across decision theory ...
Aslıhan Sezgin, İbrahim Durak
doaj   +1 more source

Double cyclotomic symmetric groups

open access: yesJournal of Algebra, 2005
This paper considers the structure and representation theory of certain finite dimensional quotients \(H_r\) of the toroidal symmetric groups. The authors prove that \(H_r\) is a cellular algebra by constructing a cellular basis for \(H_r\). Permutation modules and corresponding endomorphism algebras for \(H_r\) are also studied.
Rui, Hebing, Wang, Xin
openaire   +2 more sources

The group of endotrivial modules for the symmetric and alternating groups. [PDF]

open access: yes, 2010
We complete a classification of the groups of endotrivial modules for the modular group algebras of symmetric groups and alternating groups. We show that, for n ≥ p2, the torsion subgroup of the group of endotrivial modules for the symmetric groups is ...
Carlson, Jon, Hemmer, Dave, Mazza, Nadia
core   +1 more source

Graf Konjugasi dari Hasil Kali Langsung Grup Alternating A4 dan Grup Simetri S3

open access: yesJambura Journal of Mathematics
This study investigates the structure of conjugacy graphs formed from the conjugacy classes in the alternating group A4, the symmetric group S3, and their direct product A4 × S3.
Muhammad Fikri Muammar   +2 more
doaj   +1 more source

Symmetric Groups and Quotient Complexity of Boolean Operations [PDF]

open access: yes, 2013
The quotient complexity of a regular language L is the number of left quotients of L, which is the same as the state complexity of L. Suppose that L and L' are binary regular languages with quotient complexities m and n, and that the transition ...
A. Restivo   +11 more
core   +1 more source

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