Results 1 to 10 of about 9,405,297 (255)
Characterization of some alternating groups by order and largest element order [PDF]
AUT Journal of Mathematics and Computing, 2022 The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
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Some codes and designs invariant under the groups $S_7$ and $S_8$ [PDF]
Journal of Mahani Mathematical Research, 2023 We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they ...
Reza Kahkeshani
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Metric properties of Cayley graphs of alternating groups
Karpatsʹkì Matematičnì Publìkacìï, 2021 A well known diameter search problem for finite groups with respect to its systems of generators is considered. The problem can be formulated as follows: find the diameter of a group over its system of generators.
M.S. Olshevskyi
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Axioms, 2023 Hyperbolic triangle groups are found within the category of finitely generated groups. These are topological groups formed by the reflections along the sides of a hyperbolic triangle and acting properly discontinuously on the hyperbolic plane.
Sajida Younas +3 more
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Some results on the join graph of finite groups [PDF]
International Journal of Group Theory, 2021 Let $G$ be a finite group which is not cyclic of prime power order. The join graph $\Delta(G)$ of $G$ is a graph whose vertex set is the set of all proper subgroups of $G$, which are not contained in the Frattini subgroup $G$ and two distinct ...
Zahara Bahrami, Bijan Taeri
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Examples and Counterexamples, 2023 A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.
Dean Crnković, Andrea Švob
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Mathematics, 2020 The structure of the commutator subgroup of Sylow 2-subgroups of an alternating group A 2 k is determined. This work continues the previous investigations of me, where minimal generating sets for Sylow 2-subgroups of alternating groups were ...
Ruslan V. Skuratovskii
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Journal of Rehabilitation Medicine, 2022 Objective: To examine whether alternating training with both the non-paretic and paretic sides (alternating bilateral training), expecting trial-to-trial inter-limb transfer of training effects from the nonparetic to the paretic side, improves upper ...
Masashi Kumagai +8 more
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16-vertex graphs with automorphism groups A4 and A5 from the icosahedron
Electronic Journal of Graph Theory and Applications, 2020 The article deals with the problem of finding vertex-minimal graphs with a given automorphism group. We exhibit two undirected 16-vertex graphs having automorphism groups A4 and A5.
Peteris Daugulis
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The Relation Between the Alternating Group and Standard Row Young’s Diagrams [PDF]
مجلة التربية والعلم, 2019 This study tackles the relationship between the alternating group 14An"> and young’sdiagrams concerning standard rows. The study has been divided into two stages… First, even permutations have been found depending on the conception of partition 14خ¼ ...
Ilham Matta Yacoob Matta +2 more
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