Results 91 to 100 of about 2,545 (225)

$N$-recognizability of Groups $ Alt_p\times Alt_5$,\\ Where $p>1361$ Is a Prime Number

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
$N$-recognizability of Groups $ Alt_p\times Alt_5$, Where $p>1361$ Is a Prime Number} Given a finite group $L$, let $N(L)$ denote the set of its conjugacy class sizes.
I. B. Gorshkov, V. D. Shepelev
doaj   +1 more source

Groups with restricted conjugacy classes

open access: yes, 2002
Let \(\text{FC}^0\) be the class of all finite groups, and for each non-negative integer \(n\) let the class \(\text{FC}^{n+1}\) be defined by induction as the class of all groups \(G\) such that for every element \(x\in G\) the factor group \(G/C_G(\langle x\rangle^G)\) is in \(\text{FC}^n\). The \(\text{FC}^1\)-groups are precisely groups with finite
de Giovanni F., Russo A., Vincenzi G.
openaire   +5 more sources

Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models

open access: yesApplied Stochastic Models in Business and Industry, Volume 42, Issue 3, May/June 2026.
ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco   +4 more
wiley   +1 more source

Orbit decidability and the conjugacy problem for some extensions of groups

open access: yes, 2009
Given a short exact sequence of groups with certain conditions, 1 ? F ? G ? H ? 1, weprove that G has solvable conjugacy problem if and only if the corresponding action subgroupA 6 Aut(F) is orbit decidable.
Ventura, Enric   +2 more
core  

The Wiener and Zagreb indices of conjugacy class graph of the Dihedral groups [PDF]

open access: yes, 2019
Topological indices are numerical values that can be analysed to predict the chemical properties of the molecular structure and the topological indices are computed for a graph related to groups.
Ts. Dr. Herman Wahid
core   +2 more sources

Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

open access: yesFortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka   +2 more
wiley   +1 more source

On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms

open access: yes, 2013
We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or word hyperbolic even Coxeter groups. For an arbitrary Coxeter group W, we
Caprace, Pierre-Emmanuel   +1 more
core  

Non-nilpotent groups with three conjugacy class of non-normal subgroups [PDF]

open access: yesInternational Journal of Group Theory, 2014
For a finite group $G$ let $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. The aim of this paper is to classify all the non-nilpotent groups with $nu(G)=3$.
Hamid Mousavi
doaj  

ON CONJUGACY CLASSES IN LINEAR GROUPS

open access: yesDemonstratio Mathematica, 1993
Let \(G = GL(n,K)\) or \(SL(n,K)\), \(K\) any field (finite or infinite). The author proves that \(| C| > | Z(G)|\) for any non-central conjugacy class \(C\) in \(G\). Combining this with an older result [ibid. 22, 677-693 (1989; Zbl 0696.20040)] the author concludes that \(SL(n,K) = C_ 1C_ 2C\) if \(C\) is any noncentral conjugacy class and \(C_ 1\), \
openaire   +2 more sources

Derived length and products of conjugacy classes [PDF]

open access: yesIsrael Journal of Mathematics, 2008
Let $G$ be a supersolvable group and $A$ be a conjugacy class of $G$. Observe that for some integer $η(AA^{-1})>0$, $AA^{-1}=\{a b^{-1}\mid a,b\in A\}$ is the union of $η(AA^{-1})$ distinct conjugacy classes of $G$. Set ${\bf C}_G(A)=\{g\in G\mid a^g=a\text{for all} a\in A\}$. Then the derived length of $G/{\bf C}_G(A)$ is less or equal than $2η(A A^
openaire   +2 more sources

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