Results 21 to 30 of about 640,694 (180)
The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 [PDF]
International Journal of Group Theory, 2021 We calculate the character table of a sharply $5$-transitive subgroup of $\alter(12)$, and of a sharply $4$-transitive subgroup of $\alter(11)$. Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu
Nick Gill, Sam Hughes
doaj +1 more source
String C-group representations of alternating groups
Ars Mathematica Contemporanea, 2019 We prove that for any integer $n\geq 12$, and for every $r$ in the interval $[3, \ldots, \lfloor (n-1)/2\rfloor]$, the group $A_n$ has a string C-group representation of rank $r$ therefore showing that the only alternating group whose set of ranks is not an interval is $A_{11}$.
Fernandes, Maria Elisa, Leemans, Dimitri
openaire +6 more sources
OD-characterization of alternating groups Ap+d
Open Mathematics, 2017 Let An be an alternating group of degree n. Some authors have proved that A10, A147 and A189 cannot be OD-characterizable. On the other hand, others have shown that A16, A23+4, and A23+5 are OD-characterizable.
Yang Yong, Liu Shitian, Zhang Zhanghua
doaj +1 more source
Top-Down Construction of Independent Spanning Trees in Alternating Group Networks
IEEE Access, 2020 A set of spanning trees in a graph G is called independent spanning trees (ISTs) if they are rooted at the same vertex r, and for each vertex v(≠ r) in G, the two paths from v to r in any two trees share no common vertex expect for v and r.
Jie-Fu Huang +3 more
doaj +1 more source
Conjectures on the normal covering number of finite symmetric and alternating groups [PDF]
International Journal of Group Theory, 2014 Let gamma(Sn) be the minimum number of proper subgroups Hi, i = 1,...,ell, of the symmetric group Sn such that each element in Sn lies in some conjugate of one of the Hi.
Daniela Bubboloni +2 more
doaj
A new characterization of A7 and A8
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let G be a finite group and πe(G) be the set of element orders of G. Let k ∈ πe (G)and mk be the number of elements of order k in G. Set nse(G):={mk|k ∈ πe (G)}. It is proved that An are uniquely determined by nse(An), where n ∈ {4,5,6}.
Asboei Alireza Khalili +2 more
doaj +1 more source
PLoS ONE, 2023 Long-term high-fat feeding results in intramyocellular lipid accumulation, leading to insulin resistance. Intramyocellular lipid accumulation is related to an energy imbalance between excess fat intake and fatty acid consumption.
Ryosuke Nakanishi +8 more
doaj +1 more source
Groebner-Shirshov basis for HNN extensions of groups and for the alternating group [PDF]
, 2008 In this paper, we generalize the Shirshov's Composition Lemma by replacing the monomial order for others. By using Groebner-Shirshov bases, the normal forms of HNN extension of a group and the alternating group are ...
Bokut L. A. +14 more
core +2 more sources
Journal of NeuroEngineering and Rehabilitation, 2023 Background Coordinated control between the bilateral ankle joints plays an important role in performing daily life functions, such as walking and running.
Jia-Lan Chang +9 more
doaj +1 more source
Minimal group codes over alternating groups
, 2023 In this work we show that every minimal code in a semisimple group algebra $\mathbb{F}_qG$ is essential if $G$ is a simple group. Since the alternating group $A_n$ is simple if $n=3$ or $n\geq 5$, we present some examples of minimal codes in $\mathbb{F}_qA_n$.
de Araujo, Robson Ricardo +2 more
openaire +2 more sources