Results 11 to 20 of about 19,998 (174)
On groups covered by locally nilpotent subgroups [PDF]
, 2016 Let N be the class of pronilpotent groups, or the class of locally nilpotent profinite groups, or the class of strongly locally nilpotent profinite groups. It is proved that a profinite group G is finite-by-N if and only if G is covered by countably many
Detomi, Eloisa +2 more
core +1 more source
Locally Nilpotent Linear Groups
Irish Mathematical Society Bulletin, 2005 We survey aspects of locally nilpotent linear groups. Then we obtain a new classification; namely, we classify the irreducible maximal locally nilpotent subgroups of $\mathrm{GL}(q, \mathbb F)$ for prime $q$ and any field $\mathbb F$.
Detinko, A. S., Flannery, D. L.
openaire +2 more sources
Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]
, 2015 We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally ...
Bansal, Ashish, Kumar, Ajay
core +2 more sources
Stepwise Square Integrable Representations for Locally Nilpotent Lie Groups [PDF]
, 2014 In a recent paper we found conditions for a nilpotent Lie group $N$ to have a filtration by normal subgroups whose successive quotients have square integrable representations, and such that these square integrable representations fit together nicely to ...
Wolf, Joseph A.
core +2 more sources
Barely Transitive Locally Nilpotent P-Groups [PDF]
Journal of the London Mathematical Society, 1997 The following notion was introduced by \textit{B. Hartley} [Algebra Logika 13, 589-602 (1974; Zbl 0305.20019)]: A group \(G\) of permutations of an infinite set \(X\) is said to be barely transitive if \(G\) itself is transitive on \(X\) while every orbit of any proper subgroup of \(G\) is finite.
openaire +3 more sources
Quasisymmetric maps of boundaries of amenable hyperbolic groups [PDF]
, 2014 In this paper we show that if $Y=N \times \mathbb{Q}_m$ is a metric space where $N$ is a Carnot group endowed with the Carnot-Caratheodory metric then any quasisymmetric map of $Y$ is actually bilipschitz. The key observation is that $Y$ is the parabolic
Dymarz, Tullia
core +1 more source
Boundedness of Littlewood-Paley Operators Associated with Gauss Measures
Journal of Inequalities and Applications, 2010 Modeled on the Gauss measure, the authors introduce the locally doubling measure metric space (𝒳,d,μ)ρ, which means that the set 𝒳 is endowed with a metric d and a locally doubling regular Borel measure μ ...
Liguang Liu, Dachun Yang
doaj +2 more sources
Frobenius groups of automorphisms and their fixed points [PDF]
, 2010 Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.
Belyaev V. V. +10 more
core +2 more sources
Almost Engel finite and profinite groups [PDF]
, 2016 Let g be an element of a group G. For a positive integer n, let En(g) be the subgroup generated by all commutators [:::[[x; g]; g]; : : : ; g] over x 2 G, where g is repeated n times. We prove that if G is a prfinite group such that for every g 2 G there
E. I. Khukhro +4 more
core +2 more sources
Locally finite p-groups with all subgroups either subnormal or nilpotent-by-Chernikov [PDF]
International Journal of Group Theory, 2012 We pursue further our investigation, begun in [H.~Smith, Groups with all subgroups subnormal or nilpotent-by-{C}hernikov, emph{Rend. Sem. Mat. Univ. Padova} 126 (2011), 245--253] and continued in [G.~Cutolo and H.~Smith, Locally finite groups with all ...
H. Smith, G. Cutolo
doaj