Results 31 to 40 of about 19,998 (174)

GROUP ALGEBRAS WHOSE UNIT GROUP IS LOCALLY NILPOTENT

Journal of the Australian Mathematical Society, 2020
We present a complete list of groups$G$and fields$F$for which: (i) the group of normalized units$V(FG)$of the group algebra$FG$is locally nilpotent; (ii) the set of nontrivial nilpotent elements of$FG$is finite and nonempty, and$V(FG)$is an Engel group.
openaire   +3 more sources

Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups

, 2010
In this work we investigate solvable and nilpotent Lie groups with special metrics. The metrics of interest are left-invariant Einstein and algebraic Ricci soliton metrics.
Alekseevskiĭ, Besse, Birkes, Eberlein, Eberlein, Jablonski, Jablonski, Jensen, Kempf, Kirwan, Lauret, Marian, Michael Jablonski, Mostow, Mostow, Whitney   +15 more
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Indicability, residual finiteness, and simple subquotients of groups acting on trees

, 2017
We establish three independent results on groups acting on trees. The first implies that a compactly generated locally compact group which acts continuously on a locally finite tree with nilpotent local action and no global fixed point is virtually ...
Caprace, Pierre-Emmanuel, Wesolek, Phillip   +1 more
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Locally nilpotent skew linear groups [PDF]

Proceedings of the Edinburgh Mathematical Society, 1986
Throughout this paper D denotes a division ring with centre F and n a positive integer. A subgroup G of GL(n,D) is absolutely irreducible if the F-subalgebra F[G] enerated by G is the full matrix ring Dn ×n. It is completely reducible (resp. irreducible) if row n-space Dn over D is completely reducible (resp.
openaire   +2 more sources

Generalisations of Capparelli's and Primc's identities, II: Perfect An−1(1)$A_{n-1}^{(1)}$ crystals and explicit character formulae

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
wiley   +1 more source

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal

Доповiдi Нацiональної академiї наук України
This paper devoted to the nonperiodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G
L.A. Kurdachenko, I.Ya. Subbotin, T.V. Velychko   +2 more
doaj   +1 more source

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

Mathematische Nachrichten, Volume 299, Issue 2, Page 456-479, February 2026.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

Математичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

The coarse classification of countable abelian groups [PDF]

, 2008
We prove that two countable locally finite-by-abelian groups G,H endowed with proper left-invariant metrics are coarsely equivalent if and only if their asymptotic dimensions coincide and the groups are either both finitely-generated or both are ...
Banakh, T., Higes, J., Zarichinyy, I.
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