Results 21 to 30 of about 965,975 (328)

The Rational valued characters of the Group (Q2m×C2)

Journal of Kufa for Mathematics and Computer, 2012
The main purpose of this paper is to find the rational valued characters table of the group (Q2m×C2),when m=2h , h                         Z+, which is denoted by ≡*(Q2h+1×C2) ,where Q2m is denoted to Quaternion group ,and C2  is the ...
Nesir Rasool Mahmood, Hazim Ghdhaib Kalt
doaj   +1 more source

Proofs of some geometric conjectures on the power sum congruence modulo a prime [PDF]

Notes on Number Theory and Discrete Mathematics
The main purpose of this paper is to verify the geometric conjectures of Mustonen (2022) concerning the solutions and the number of solutions of the congruence xⁿ+yⁿ≡0 (mod p), where p is a prime. For p>2, the nontrivial solutions lie on the "lines" y≡cx
Pentti Haukkanen
doaj   +1 more source

Which finite simple groups are unit groups? [PDF]

, 2014
We prove that if $G$ is a finite simple group which is the unit group of a ring, then $G$ is isomorphic to either (a) a cyclic group of order 2; (b) a cyclic group of prime order $2^k -1$ for some $k$; or (c) a projective special linear group $PSL_n ...
Davis, Christopher, Occhipinti, Tommy
core   +2 more sources

Cartesian symmetry classes associated with certain subgroups of $S_m$ [PDF]

International Journal of Group Theory
In this paper, the problem existing $O$-basis for Cartesian symmetry classes is discussed. The dimensions of Cartesian symmetry classes associated with a cyclic subgroup of the symmetric group $S_m$ (generated by a product of disjoint cycles) and the ...
Seyyed Sadegh Gholami, Yousef Zamani
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Planarity of Inclusion Graph of Cyclic Subgroups of Finite Group [PDF]

Mathematics Interdisciplinary Research, 2020
Let G be a finite group. The inclusion graph of cyclic subgroups of G, Ic(G), is the (undirected) graph with vertices of all cyclic subgroups of G, and two distinct cyclic subgroups ⟨a⟩ and ⟨b⟩, are adjacent if and only if ⟨a⟩ ⊂ ⟨b⟩ or ⟨b⟩ ⊂ ⟨a⟩. In this
Zahra Garibbolooki, Sayyed Heidar Jafari
doaj   +1 more source

A remark on rational Cherednik algebras and differential operators on the cyclic quiver [PDF]

, 2005
We show that the spherical subalgebra of the rational Cherednik algebra associated to the wreath product of a symmetric group and a cyclic group is isomorphic to a quotient of the ring of invariant differential operators on a space of representations of ...
Gordon, Iain
core   +2 more sources

LOG Groups and Cyclically Presented Groups

Journal of Algebra, 1995
A labelled oriented graph (LOG) is a directed graph together with a labelling of its edges by vertices. It determines a group presentation with generators corresponding to the vertices, and relators determined by the edges where the relator says that the edge label conjugates the (generator corresponding to the) initial vertex of the edge to the ...
Gilbert, N.D., Howie, J.
openaire   +2 more sources

The cyclic group and the transpose of an R-cyclic matrix

Journal of Operator Theory, 2021
We show that using the cyclic group the transpose of an R-cyclic matrix can be decomposed along diagonal parts into a sum of parts which are freely independent over diagonal scalar matrices. Moreover, if the R-cyclic matrix is self-adjoint then the off-diagonal parts are R-diagonal.
Arizmendi, Octavio, Mingo, James A.
openaire   +2 more sources

New Two-Stage Automorphism Group Decoders for Cyclic Codes

IEEE Access, 2020
Recently, error correcting codes in the erasure channel have drawn great attention for various applications such as distributed storage systems and wireless sensor networks, but many of their decoding algorithms are not practical because they have higher
Chanki Kim, Jong-Seon No
doaj   +1 more source

Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry [PDF]

, 2001
Based on the observation that the moduli of a link variable on a cyclic group modify Connes' distance on this group, we construct several action functionals for this link variable within the framework of noncommutative geometry.
Dai, Jian, Song, Xing-Chang
core   +6 more sources