Results 71 to 80 of about 5,969 (246)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Automorphisms of free braided nonassociative algebras of rank 2
Қарағанды университетінің хабаршысы. Математика сериясыWe prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip +2 more
doaj +1 more source
The automorphism group for p-central p-groups [PDF]
International Journal of Group Theory, 2012 A p-group is p-central if the central quotient has exponent p, and G is (p^2)-abelian if (xy)^{p^{2}}=(x^{p^2})(y^{p^2}) for all x,y in G . We prove that for G a finite (p^2)-abelian p-central p-group, excluding certain cases, the order of G divides the ...
Anitha Thillaisundaram
doaj
On Kotzig's Perfect Set Problem of Hamiltonian Cycle Decompositions of the Complete Graph
Journal of Combinatorial Designs, Volume 34, Issue 8, Page 388-409, August 2026.ABSTRACT A Hamiltonian cycle decomposition (HCD) of K n is a set of Hamiltonian cycles in which each 1‐path of K n appears exactly once. A Dudeney set of K n is a set of Hamiltonian cycles in which each 2‐path of K n appears exactly once. Kotzig's perfect set of HCDs of K n is a set of HCDs whose union forms a Dudeney set.
Nobuaki Mutoh
wiley +1 more source
Automorphism group of certain power graphs of finite groups
Electronic Journal of Graph Theory and Applications, 2017 The power graph $\mathcal{P}(G)$ of a group $G$ is the graphwith group elements as vertex set and two elements areadjacent if one is a power of the other. The aim of this paper is to compute the automorphism group of the power graph of several well-known
Ali Reza Ashrafi +2 more
doaj +1 more source
Transforming Solutions for the Oberwolfach Problem into Solutions for the Spouse‐Loving Variant
Journal of Combinatorial Designs, Volume 34, Issue 8, Page 361-377, August 2026.ABSTRACT The Oberwolfach problem OP ( F ), for a 2‐factor F of K n, asks whether there exists a 2‐factorization of K n (if n is odd) or K n − I (if n is even) where each 2‐factor is isomorphic to F. Here, I denotes any 1‐factor of K n. For even n, the problem OP ( F ) may also be denoted OP − ( F ), and has been nicknamed the spouse‐avoiding variant ...
Maruša Lekše, Mateja Šajna
wiley +1 more source
Finite $2$-groups of class $2$ with a specific automorphism group [PDF]
International Journal of Group Theory, 2017 In this paper we determine all finite $2$-groups of class $2$ in which every automorphism of order $2$ leaving the Frattini subgroup elementwise fixed is inner.
Marzieh Ahmadi, S. Mohsen Ghoraishi
doaj +1 more source
On the automorphism groups of relatively free groups of infinite rank: a survey
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 The paper is intended to be a survey on some topics within the framework of automorphisms of a relatively free groups of infinite rank. We discuss such properties as tameness, primitivity, small index, Bergman property, and so on.
V.A. Roman’kov
doaj +1 more source
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Given r⩾3$r \geqslant 3$, we prove that there exists λ>0$\lambda >0$ depending only on r$r$ so that if G$G$ is a metric graph of rank r$r$ with metric entropy 1, then there exists a proper subgraph H$H$ of G$G$ with metric entropy at least λ$\lambda$. This answers a question of the second two authors together with Rieck. We interpret this as a
Tawfiq Hamed, Tarik Aougab, Matt Clay
wiley +1 more source
On the tightness of left‐invariant contact structures
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley +1 more source