Results 21 to 30 of about 19,998 (174)
Про будову груп, неабелеві підгрупи яких є серійними [PDF]
Отримано детальний опис локально скінченних груп, що не є локально нільпотентними, всі неабелеві підгрупи яких є серійними, зростаючими або переставними.Получено подробное описание локально конечных групп, которые не являются локально нильпотентными, все
Діксон, M.Р. +2 more
core +2 more sources
Flexible varieties and automorphism groups [PDF]
Given an affine algebraic variety X of dimension at least 2, we let SAut (X) denote the special automorphism group of X i.e., the subgroup of the full automorphism group Aut (X) generated by all one-parameter unipotent subgroups. We show that if SAut (X)
Arzhantsev, I. +4 more
core +2 more sources
Certain locally nilpotent varieties of groups [PDF]
Let c ≥ 0, d ≥ 2 be integers and be the variety of groups in which every d-generator subgroup is nilpotent of class at most c. N.D. Gupta asked for what values of c and d is it true that is locally nilpotent? We prove that if c ≤ 2d + 2d−1 − 3 then the variety is locally nilpotent and we reduce the question of Gupta about the periodic groups in to ...
openaire +2 more sources
Nilpotent $p$-local finite groups
In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.
Cantarero, J., Scherer, J., Viruel, A.
openaire +4 more sources
Subgroups defining automorphisms in locally nilpotent groups [PDF]
We investigate some situation in which automorphisms of a group G are uniquely determined by their restrictions to a proper subgroup H. Much of the paper is devoted to studying under which additional hypotheses this property forces G to be nilpotent if H is.
CUTOLO, GIOVANNI, C. NICOTERA
openaire +5 more sources
Approximate lattices and Meyer sets in nilpotent Lie groups
Approximate lattices and Meyer sets in nilpotent Lie groups, Discrete Analysis 2020:1, 18 pp. A central result in additive combinatorics, Freiman's theorem, describes the structure of any finite set $A$ of integers with the property that its sumset $A+A$
Simon Machado
doaj +1 more source
Locally nilpotent skew linear groups II [PDF]
Our paper [6] studied in some depth certain locally nilpotent skew linear groups, but our conclusions there left some obvious gaps. By means of a trick, which now seems obvious, but then did not, we are able to tidy up the situation very satisfactorily. This present paper should be viewed as a follow up to [6].
openaire +2 more sources
Totally disconnected locally compact groups locally of finite rank
We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-$\pi$ compact open subgroup for some finite set of primes $\pi ...
Wesolek, Phillip
core +1 more source
A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra.We study intrinsic Lipschitz graphs and intrinsic differentiable graphs within Carnot groups.
Franchi Bruno +2 more
doaj +1 more source
Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]
The Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim +2 more
doaj +1 more source

