Results 51 to 60 of about 816 (183)
Commutativity Degree of Finite Groups
, 2010 The commutativity degree of a group is the probability that two randomly selected (with replacement) elements of the group commute. We find bounds on the commutativity degree of a finite group, equate restricted values of commutativity degree to ...
Castelaz, Anna
core
The Precise Value of Commutativity Degree in Some Finite Groups
, 2014 The commutativity degree of a finite ...
Kayvan Moradipour +2 more
core +1 more source
Commuting Regularity degree of finite semigroups [PDF]
Creative Mathematics and Informatics, 2015 A pair (x, y) of elements x and y of a semigroup S is said to be a commuting regular pair, if there exists an element z ∈ S such that xy = (yx)z(yx). In a finite semigroup S, the probability that the pair (x, y) of elements of S is commuting regular will be denoted by dcr(S) and will be called the Commuting Regularity degree of S.
A. FIRUZKUHY, H. DOOSTIE
openaire +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Graph related to cubed commutativity degree
, 2020 Let G be a finite group and T3(G) be the set of third power of commuting element in G i.e T3(G) = {x∈G|(xg)3 = (gx)3}. We define a graph, ⌈ with the vertex set G\T3(G) in which two vertices x and y are joined by an edge (connected) if (xy)3 ≠ (yx)3 ...
Erfanian, A. +3 more
core +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
The squared commutativity degree of dihedral groups
, 2015 The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as ...
Azhanie Sardangi
core
On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
, 2016 We show some results on the probability that a randomly picked pair $(H, K)$ of subgroups of a finite group $G$ satisfies $[H, K] = 1$. This notion of probability is related with the subgroup $S$-commutativity degree in [D.E. Otera and F.G.
Russo F
core +1 more source