Results 11 to 20 of about 12,691,089 (279)
Random Nilpotent Groups I [PDF]
International Mathematics Research Notices, 2017 We study random nilpotent groups in the well-established style of random groups, by choosing relators uniformly among freely reduced words of (nearly) equal length and letting the length tend to infinity. Whereas random groups are quotients of a free group by such a random set of relators, random nilpotent groups are formed as corresponding quotients ...
Cordes, Matthew +4 more
openaire +4 more sources
Equations in nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 2015 We show that there exists an algorithm to decide any single equation in the Heisenberg group in finite time. The method works for all two-step nilpotent groups with rank-one commutator, which includes the higher Heisenberg groups. We also prove that the decision problem for systems of equations is unsolvable in all non-abelian free nilpotent groups.
Duchin, Moon +2 more
openaire +4 more sources
Actions of nilpotent groups on nilpotent groups
Glasgow Mathematical JournalAbstractFor finite nilpotent groups $J$ and $N$ , suppose $J$ acts on $N$ via automorphisms. We exhibit a decomposition of the first cohomology set in terms of the first cohomologies of the Sylow $p$ -subgroups of $J$ that mirrors the primary decomposition of $H^1(J,N)$ for abelian $N$ .
Michael C. Burkhart
openaire +4 more sources
Probabilistically nilpotent groups [PDF]
Proceedings of the American Mathematical Society, 2017 To appear in Proc. Amer.
A. Shalev
openaire +5 more sources
Approximate lattices and Meyer sets in nilpotent Lie groups [PDF]
Discrete Analysis, 2020 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 +2 more sources
Approximate subgroups of residually nilpotent groups. [PDF]
Math Ann, 2019 We show that a K-approximate subgroup A of a residually nilpotent group G is contained in boundedly many cosets of a finite-by-nilpotent subgroup, the nilpotent factor of which is of bounded step.
Tointon MCH.
europepmc +3 more sources
Line graph characterization of power graphs of finite nilpotent groups [PDF]
Communications in Algebra, 2021 This paper deals with the classification of groups G such that power graphs and proper power graphs of G are line graphs. In fact, we classify all finite nilpotent groups whose power graphs are line graphs. Also, we categorize all finite nilpotent groups
S. Bera
semanticscholar +1 more source
On Malle’s conjecture for nilpotent groups
Transactions of the American Mathematical Society. Series B, 2023 We develop an abstract framework for studying the strong form of Malle’s conjecture [J. Number Theory 92 (2002), pp. 315–329; Experiment. Math. 13 (2004), pp. 129–135] for nilpotent groups G G in their regular representation.
P. Koymans, Carlo Pagano
semanticscholar +1 more source
On finite-by-nilpotent profinite groups [PDF]
International Journal of Group Theory, 2020 Let $\gamma_n=[x_1,\ldots,x_n]$ be the $n$th lower central word. Suppose that $G$ is a profinite group where the conjugacy classes $x^{\gamma_n(G)}$ contains less than $2^{\aleph_0}$ elements for any $x \in G$.
Eloisa Detomi, Marta Morigi
doaj +1 more source
Towards semi-classical analysis for sub-elliptic operators
Bruno Pini Mathematical Analysis Seminar, 2022 We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators.
Véronique Fischer
doaj +1 more source