Results 1 to 10 of about 2,104 (60)
Formality and hard Lefschetz property of aspherical manifolds [PDF]
, 2012 For a Lie group $G=\R^{n}\ltimes_{\phi}\R^{m}$ with the semi-simple action $\phi:\R^{n}\to {\rm Aut}(\R^{m})$, we show that if $\Gamma$ is a finite extension of a lattice of $G$ then $K(\Gamma, 1)$ is formal.
Kasuya, Hisashi
core +3 more sources
Lie rank in groups of finite Morley rank with solvable local subgroups [PDF]
, 2013 We prove a general dichotomy theorem for groups of finite Morley rank with solvable local subgroups and of Pr\"ufer p-rank at least 2, leading either to some p-strong embedding, or to the Pr\"ufer p-rank being exactly ...
Deloro, Adrien, Jaligot, Eric
core +5 more sources
Definable Envelopes of Nilpotent Subgroups of Groups with Chain Conditions on Centralizers [PDF]
, 2011 An $\mathfrak{M}_C$ group is a group in which all chains of centralizers have finite length. In this article, we show that every nilpotent subgroup of an $\mathfrak{M}_C$ group is contained in a definable subgroup which is nilpotent of the same ...
Altınel, Tuna, Baginski, Paul
core +3 more sources
Very nilpotent basis and n-tuples in Borel subalgebras [PDF]
, 2010 A (vector space) basis B of a Lie algebra is said to be very nilpotent if all the iterated brackets of elements of B are nilpotent. In this note, we prove a refinement of Engel's Theorem.
Michael, Bulois
core +5 more sources
Growth rate for endomorphisms of finitely generated nilpotent groups and solvable groups
, 2014 Correct a ...
Fel'shtyn, Alexander +2 more
openaire +2 more sources
A Parafermionic Generalization of the Jaynes Cummings Model [PDF]
, 2014 We introduce a parafermionic version of the Jaynes Cummings Hamiltonian, by coupling $k$ Fock parafermions (nilpotent of order $F$) to a 1D harmonic oscillator, representing the interaction with a single mode of the electromagnetic field.
Gherardi, Marco, Nigro, Alessandro
core +2 more sources
Crystallographic actions on contractible algebraic manifolds
, 2014 We study properly discontinuous and cocompact actions of a discrete subgroup $\Gamma$ of an algebraic group $G$ on a contractible algebraic manifold $X$.
Dekimpe, Karel, Petrosyan, Nansen
core +1 more source
Plane curves and their fundamental groups: Generalizations of Uludag's construction
, 2002 In this paper we investigate Uludag's method for constructing new curves whose fundamental groups are central extensions of the fundamental group of the original curve by finite cyclic groups.
Artal Bartolo +17 more
core +6 more sources
, 2019 We introduce strong left ideals of skew braces and prove that they produce non-trivial decomposition of set-theoretic solutions of the Yang-Baxter equation. We study factorization of skew left braces through strong left ideals and we prove analogs of It\^
Jespers, E. +3 more
core +1 more source
Residual properties of 3-manifold groups I: Fibered and hyperbolic 3-manifolds [PDF]
, 2009 Let $p$ be a prime. In this paper, we classify the geometric 3-manifolds whose fundamental groups are virtually residually $p$. Let $M=M^3$ be a virtually fibered 3-manifold.
Koberda, Thomas
core +1 more source