Zobrazeno 1 - 10
of 20 205
pro vyhledávání: '"math.GR"'
Autor:
Timoshenko, E. I.
We construct an ordered set of commutators in a partially commutative nilpotent group $F(X; \Gamma; \mathfrak N_m)$. This set allows us to define a canonical form for each element of $F(X; \Gamma; \mathfrak N_m)$. Namely, we construct a Maltsev basis
Externí odkaz:
http://arxiv.org/abs/2103.11134
Autor:
Serre, Jean-Pierre
We show that the reduction mod p of an orthogonal linear representation is orthogonal, and we generalize this fact to representations of algebras with involution.The proofs make an essential use of the notion of " middle lattices ".
Comment: pap
Comment: pap
Externí odkaz:
http://arxiv.org/abs/1708.00046
Autor:
Pommaret, Jean-Francois
This paper aims to revisit the mathematical foundations of both General Relativity and Electromagnetism after one century, in the light of the formal theory of systems of partial differential equations and Lie pseudogroups (D.C. Spencer, 1970) or Alg
Externí odkaz:
http://arxiv.org/abs/1706.04105
Publikováno v:
Journal of Algebra. 631:136-147
Let $k$ be any positive integer and $G$ a compact (Hausdorff) group. Let $\mf{np}_k(G)$ denote the probability that $k+1$ randomly chosen elements $x_1,\dots,x_{k+1}$ satisfy $[x_1,x_2,\dots,x_{k+1}]=1$. We study the following problem: If $\mf{np}_k(
Autor:
Sikorav, Jean-Claude
Publikováno v:
Annales de l'Institut Fourier. 73:279-306
We prove that for "most" closed 3-dimensional manifolds $M$, the existence of a closed non singular one-form in a given cohomology class $u\in H^1 (M,\bf R)$ is equivalent to the fact that every twisted Alexander polynomial $\Delta^H(M,u) \in {\bf Z}
Autor:
Bruno Duchesne
Publikováno v:
HAL
We consider the isometry group of the infinite dimensional separable hyperbolic space with its Polish topology. This topology is given by the pointwise convergence. For non-locally compact Polish groups, some striking phenomena like automatic continu
Autor:
Dan Segal
Publikováno v:
Journal of Algebra. 629:109-123
A soluble pro-p group of finite rank is finitely axiomatizable in the class of all profinite groups if and only if for each open subgroup H, the image of Z(H) in the abelianization of H is finite, subject to some suitable hypothesis of finite present
Autor:
Saikat Panja
Publikováno v:
Linear Algebra and its Applications. 669:118-124
A group $G$ is called to be acceptable (due to M. Larsen) if for any finite group $H$, two element-conjugate homomorphisms are globally conjugate. We answer the acceptability question for general linear, special linear, unitary, symplectic and all or
In this paper we introduce a new definition of the first non-abelian cohomology of topological groups. We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-
Externí odkaz:
http://arxiv.org/abs/1407.5071
Autor:
Das, Kajal, Tessera, Romain
Let $\Gamma_g$ be a surface group of genus $g\geq 2$. It is known that the canonical central extension $\tilde{\Gamma}_g$ and the direct product $\Gamma_g\times \mathbb{Z}$ are quasi-isometric. It is also easy to see that they are measure equivalent.
Externí odkaz:
http://arxiv.org/abs/1405.2667