Results 11 to 20 of about 408,425 (278)

Between the enhanced power graph and the commuting graph

open access: yesJournal of Graph Theory, Volume 102, Issue 2, Page 295-303, February 2023., 2023
Abstract The purpose of this note is to define a graph whose vertex set is a finite group G $G$, whose edge set is contained in that of the commuting graph of G $G$ and contains the enhanced power graph of G $G$. We call this graph the deep commuting graph of G $G$.
Peter J. Cameron, Bojan Kuzma
wiley   +1 more source

Cohomology of moduli spaces of Del Pezzo surfaces

open access: yesMathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023
Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley   +1 more source

Conformal Interactions Between Matter and Higher‐Spin (Super)Fields

open access: yesFortschritte der Physik, Volume 71, Issue 1, January 2023., 2023
Abstract In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model S[φ,h]$\mathcal {S}[\varphi ,h]$ describing a complex scalar field φ coupled to an infinite set of background CHS fields h, with S[φ,h]$\mathcal {S}[\varphi ,h ...
Sergei M. Kuzenko   +2 more
wiley   +1 more source

Maximal abelian subgroups of the finite symmetric group [PDF]

open access: yesInternational Journal of Group Theory, 2021
‎Let $G$ be a group‎. ‎For an element $a\in G$‎, ‎denote by $\cs(a)$ the second centralizer of~$a$ in~$G$‎, ‎which is the set of all elements $b\in G$ such that $bx=xb$ for every $x\in G$ that commutes with $a$‎.
Janusz Konieczny
doaj   +1 more source

Commutativity Degree of Certain Finite AC-Groups [PDF]

open access: yesMathematics Interdisciplinary Research, 2021
For a finite group G, the probability of two elements of G that commute is the commutativity degree of G denoted by P(G). As a matter of fact, if C = {(a; b) ∈ G×G | ab = ba}, then P(G) = |C|/|G|2 .
Azizollah Azad, Sakineh Rahbariyan
doaj   +1 more source

The Baer–Kaplansky Theorem for all abelian groups and modules

open access: yesBulletin of Mathematical Sciences, 2022
It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
doaj   +1 more source

On the occurrence of elementary abelian $p$-groups as the Schur multiplier of non-abelian $p$-groups

open access: yesComptes Rendus. Mathématique, 2023
We prove that every elementary abelian $p$-group, for odd primes $p$, occurs as the Schur multiplier of some non-abelian finite $p$-group.
Rai, Pradeep K.
doaj   +1 more source

On the Norm of the Abelian p-Group-Residuals

open access: yesMathematics, 2021
Let G be a group. Dp(G)=⋂H≤GNG(H′(p)) is defined and, the properties of Dp(G) are investigated. It is proved that Dp(G)=P[A], where P=D(P) is the Sylow p-subgroup and A=N(A) is a Hall p′-subgroup of Dp(G), respectively.
Baojun Li, Yu Han, Lü Gong, Tong Jiang
doaj   +1 more source

Abelian networks III. The critical group [PDF]

open access: yes, 2015
The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph.
Bond, Benjamin, Levine, Lionel
core   +1 more source

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