Results 11 to 20 of about 408,425 (278)
Between the enhanced power graph and the commuting graph
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
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
Weyl groups and abelian varieties [PDF]
20 pages, to appear in Journal of Group ...
Carocca, Angel+2 more
openaire +14 more sources
Conformal Interactions Between Matter and Higher‐Spin (Super)Fields
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]
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]
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
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
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
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]
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