Results 11 to 20 of about 15,265,231 (306)
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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Irreducible projective representations of the alternating group which remain irreducible in characteristic 2 [PDF]
Advances in Mathematics, 2020 For any finite group G it is an interesting question to ask which ordinary irreducible representations of G remain irreducible in a given characteristic p. We answer this question for p = 2 when G is the proper double cover of the alternating group. As a
M. Fayers
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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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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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On the Group of Alternating Colored Permutations [PDF]
The Electronic Journal of Combinatorics, 2014 The group of alternating colored permutations is the natural analogue of the classical alternating group, inside the wreath product $\mathbb{Z}_r \wr S_n$. We present a 'Coxeter-like' presentation for this group and compute the length function with respect to that presentation.
Eli Bagno, David Garber, Toufik Mansour
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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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Alternating Group Lasso for Block-Term Tensor Decomposition and Application to ECG Source Separation
IEEE Transactions on Signal Processing, 2020 In some applications, blind source separation can be performed by computing an approximate block-term tensor decomposition (BTD), under much milder constraints than matrix-based techniques.
J. H. D. M. Goulart +4 more
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The 4-Component Connectivity of Alternating Group Networks [PDF]
Theoretical Computer Science, 2018 The l-component connectivity (or l-connectivity for short) of a graph G, denoted by κ l ( G ) , is the minimum number of vertices whose removal from G results in a disconnected graph with at least l components or a graph with fewer than l vertices.
Jou-Ming Chang +3 more
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Alternating Groups as Collineation Groups
Journal of Algebra, 2000 A collineation group \(G\) of a projective plane \(\pi\) is called totally irregular if each \(G\)-orbit of points is irregular, that is, the stabiliser of any point in \(G\) is not \(1\). In the paper under review, the authors prove that only finitely many alternating groups can be totally irregular collineation groups of projective planes. Precisely,
UFRj/Uenf, Brazil ( host institution ) +2 more
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