Results 81 to 90 of about 74,830 (231)

On $p$-groups with a maximal elementary abelian normal subgroup of rank $k$ [PDF]

, 2023
Zoltán Halasi, Károly Podoski, László Pyber, Endre Szabó   +3 more
openalex   +1 more source

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

The abelianization of the elementary group of rank two

Proceedings of the Edinburgh Mathematical Society
AbstractFor an arbitrary ring A, we study the abelianization of the elementary group $\mathit{{\rm E}}_2(A)$. In particular, we show that for a commutative ring A there exists an exact sequence \begin{equation*} {\rm K}_2(2,A)/{\rm C}(2,A) \rightarrow A/M \rightarrow \mathit{{\rm E}}_2(A)^{\rm ab} \rightarrow 1, \end{equation*}where ${\rm C}(2,A)$ is ...
Behrooz Mirzaii, Elvis Torres Pérez
openaire   +2 more sources

The m$m$‐step solvable anabelian geometry of mixed‐characteristic local fields

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Let K$K$ be a mixed‐characteristic local field. For an integer m⩾0$m \geqslant 0$, we denote by Km/K$K^m / K$ the maximal m$m$‐step solvable extension of K$K$, and by GKm$G_K^m$ the maximal m$m$‐step solvable quotient of the absolute Galois group GK$G_K$ of K$K$.
Seung‐Hyeon Hyeon
wiley   +1 more source

On the solvability of the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ for blocks of finite groups

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We give some criteria for the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ to be solvable, where B$B$ is a p$p$‐block of a finite group algebra, in terms of the action of an inertial quotient of B$B$ on a defect group of B$B$.
Markus Linckelmann, Jialin Wang
wiley   +1 more source

Left-ordered inp-minimal groups

, 2017
We prove that any left-ordered inp-minimal group is abelian, and we provide an example of a non-abelian left-ordered group of dp-rank ...
Dobrowolski, Jan, Goodrick, John
core  

Magnons and spikes for N $$ \mathcal{N} $$ = 2 linear quivers and their non-Abelian T-duals

Journal of High Energy Physics
We compute the spectra associated with various semiclassical string states that propagate over N $$ \mathcal{N} $$ = 2 Gaiotto-Maldacena backgrounds. As an interesting special case, for the Abelian T- dual solution, we discover giant magnon and single ...
Dibakar Roychowdhury
doaj   +1 more source

Quasirandom and quasisimple groups

Discrete Analysis
Quasirandom and quasisimple groups, Discrete Analysis 2025:21, 24 pp. A quasirandom family of groups is a sequence of finite groups $(G_n)$ such that the smallest dimension of a non-trivial irreducible representation of $G_n$ tends to infinity with $n$.
Marco Barbieri, Luca Sabatini
doaj   +1 more source

Lower bounds for ranks of Mumford-Tate groups

, 2013
Let A be a complex abelian variety and G its Mumford--Tate group. Supposing that the simple abelian subvarieties of A are pairwise non-isogenous, we find a lower bound for the rank of G, which is a little less than log_2 dim A.
Orr, Martin
core  

Bohr sets in sumsets I: Compact abelian groups

Discrete Analysis
Bohr sets in sumsets I: Compact abelian groups, Discrete Analysis 2025:11, 37 pp. Since Bogolyubov’s 1939 result concerning Bohr structure inside sets of the form $A+A−A−A$, much has been written about how “smooth” sumsets are, where smoothness is ...
Anh N Le, Thái Hoàng Lê
doaj   +1 more source