Results 21 to 30 of about 743,335 (330)
Permutation codes over Sylow 2-subgroups $Syl_2(S_{2^n})$ of symmetric groups $S_{2^n}$
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
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]
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
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]
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]
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
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]
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
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]
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

