Results 111 to 120 of about 2,562,424 (201)

The nth commutativity degree of nonabelian metabelian groups of order at most 24 [PDF]

open access: yes, 2013
A group G is metabelian if and only if there exists an abelian normal subgroup A such that the factor group, G A is abelian. Meanwhile, for any group G, the commutativity degree of a group is the probability that two randomly selected elements of the ...
Abd. Halim, Zulezzah
core  

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley   +1 more source

Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley   +1 more source

Simple homotopy theory for Fukaya categories

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

The computation of the commutativity degree for dihedral groups in terms of centralizers

open access: yes, 2012
The commutativity degree of finite groups is computed by finding the number of conjugacy classes of G. Also, finding the centralizers of a finite group can be applied to obtain the commutativity degree of the group.
Sarmin, Nor Haniza   +3 more
core  

An alternative technique for computing the commutativity degree of dihedral groups

open access: yes, 2013
Let G be a finite dihedral group Dn. The probability that two random elements commute is called the commutativity degree and it is denoted by P(G). Another technique is used to compute the commutativity is using centralizers.
Sarmin, Nor Haniza   +3 more
core  

Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups

open access: yes, 2017
We show some results on the probability that a randomly picked pair (H;K) of subgroups of a nite group G satises [H;K] = 1. This notion of probability is related with the  subgroup S-commutativity degree in [D.E. Otera and F.G.
Russo, Francesco G.
core  

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