Results 11 to 20 of about 640,694 (180)
Product mixing in the alternating group [PDF]
Discrete Analysis, 2016 Product mixing in the alternating group, Discrete Analysis 2016:2, 18 pp. Growth and mixing of subsets of groups is a major theme in group theory. The former concerns lower bounds for the sizes of product sets, especially of the form $A^k$, where $A$ is
Sean Eberhard
doaj +3 more sources
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
doaj +1 more source
Stable cohomology of alternating groups [PDF]
Open Mathematics, 2013 Abstract We determine the stable cohomology groups ($$H_S^i \left( {{{\mathfrak{A}_n ,\mathbb{Z}} \mathord{\left/ {\vphantom {{\mathfrak{A}_n ,\mathbb{Z}} {p\mathbb{Z}}}} \right. \kern-\nulldelimiterspace} {p\mathbb{Z}}}} \right)$$ of the alternating groups $$\mathfrak{A}_n$$ for all integers n and i, and all odd primes p.
Bogomolov Fedor, Böhning Christian
openaire +3 more sources
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
doaj +1 more source
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
openaire +3 more sources
The group of endotrivial modules for the symmetric and alternating groups. [PDF]
, 2010 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
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
doaj +1 more source
Huppert's Conjecture for alternating groups
Journal of Algebra, 2017 20 ...
Christine Bessenrodt +2 more
openaire +2 more sources
Comparison of Gelfand-Tsetlin Bases for Alternating and Symmetric Groups [PDF]
, 2017 Young's orthogonal basis is a classical basis for an irreducible representation of a symmetric group. This basis happens to be a Gelfand-Tsetlin basis for the chain of symmetric groups. It is well-known that the chain of alternating groups, just like the
Geetha, T., Prasad, Amritanshu
core +1 more source
Minimum Neighborhood of Alternating Group Graphs
IEEE Access, 2019 The minimum neighborhood and combinatorial property are two important indicators of fault tolerance of a multiprocessor system. Given a graph G, θG(q) is the minimum number of vertices adjacent to a set of q vertices of G (1 ≤ q ≤ |V(
Yanze Huang +3 more
doaj +1 more source