Results 111 to 120 of about 4,257,446 (215)
On the tensor degree of finite groups
We study the number of elements $x$ and $y$ of a finite group $G$ such that $x \otimes y= 1_{_{G \otimes G}}$ in the nonabelian tensor square $G \otimes G$ of $G$.
Niroomand, Peyman, Russo, Francesco G.
core
Which singular tangent bundles are isomorphic?
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
On cohomology of locally profinite sets
Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
wiley +1 more source
Commutativity degree, its generalizations, and classification of finite groups [PDF]
Rajat Kanti Nath, Ashish Kumar Das
openalex +1 more source
Application of Group‐Theoretical Approaches in Structural Natural Frequency Analyses
ABSTRACT Group theory has profoundly advanced physics and chemistry in systems with symmetries. Yet its use in structural engineering applications has not yet been fully explored beyond the aesthetics of symmetric designs. This work addresses two significant gaps that have limited the broader adoption of group‐theoretic methods in structural vibration ...
Shiyao Sun, Kapil Khandelwal
wiley +1 more source
A general case of the commutativity degree of nilpotent p-groups of class two [PDF]
Fadila Normahia Abd Manaf +4 more
openalex +1 more source
On photon angular momentum: transversality condition, Berry degree of freedom, and non-commutativity of photon position [PDF]
Chun-Fang Li
openalex +1 more source
Density of rational points on commutative group varieties and small transcendence degree (long version) [PDF]
Aleksander Momot
openalex +1 more source
Transcendence degree over an arbitrary commutative ring
This paper considers some candidates for a definition of transcendence degree in commutative rings, along with their consequences and limitations. Let S be a polynomial algebra in n variables over R. The transcendence degree of an ordered subset \(\{y_ 1,...,y_ m\}\) of S over R is denoted [R[y]:R] and defined to be \(\sum\) \(a_ k\quad where\) \(a_ k ...
openaire +1 more source
Covering-monopole map and higher degree in non-commutative geometry
Tsuyoshi Kato
openalex +1 more source

