Results 21 to 30 of about 382,475 (265)

Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]

Advances in Group Theory and Applications, 2016
It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
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The Number of Supercharacter Theories of Cyclic Groups of Order pq [PDF]

Advances in Group Theory and Applications
In this paper, we determine the number of distinct supercharacter theories of cyclic group of order pq where p and q are distinct odd primes.
E. Armioun
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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.
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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.
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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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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
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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
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Uniform cyclic group factorizations of finite groups

Communications in Algebra, 2023
In this paper, we introduce a kind of decomposition of a finite group called a uniform group factorization, as a generalization of exact factorizations of a finite group. A group $G$ is said to admit a uniform group factorization if there exist subgroups $H_1, H_2, \ldots, H_k$ such that $G = H_1 H_2 \cdots H_k$ and the number of ways to represent any ...
Kazuki Kanai, Kengo Miyamoto, Koji Nuida, Kazumasa Shinagawa   +3 more
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Non-periodic groups with the restrictions on the norm of cyclic subgroups of non-prime order

Математичні Студії, 2022
One of the main directions in group theory is the study of the impact of characteristic subgroups on the structure of the whole group. Such characteristic subgroups include different $\Sigma$-norms of a group.
M. Drushlyak, T. Lukashova
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Conjugacy in Abelian-by-Cyclic Groups [PDF]

Proceedings of the American Mathematical Society, 1976
It is shown that each finitely generated torsion-free abelian-by-cyclic group has solvable conjugacy problem. This is done by showing that solving the conjugacy problem for these groups is equivalent to a certain decision problem for modules over the complex group algebra of an infinite cyclic group.
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