Results 61 to 70 of about 1,009 (164)

Jordan homomorphisms and T‐ideals

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley   +1 more source

On some groups whose subnormal subgroups are contranormal-free [PDF]

International Journal of Group Theory
If $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups.
Leonid Kurdachenko, Patrizia Longobardi, Mercede Maj   +2 more
doaj   +1 more source

Derangements in intransitive groups

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley   +1 more source

Alperin's bound and normal Sylow subgroups

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng, J. Miquel Martínez, Damiano Rossi   +2 more
wiley   +1 more source

From Groups to Leibniz Algebras: Common Approaches, Parallel Results [PDF]

Advances in Group Theory and Applications, 2018
In this article, we study (locally) nilpotent and hyper-central Leibniz algebras. We obtained results similar to those in group theory. For instance, we proved a result analogous to the Hirsch-Plotkin Theorem for locally nilpotent groups.
L.A. Kurdachenko, I.Ya. Subbotin, N.N. Semko   +2 more
doaj   +1 more source

Quantum GraviElectro Dynamics

Annalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

Finite p′-nilpotent groups. II

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we continue the study of finite p′-nilpotent groups that was started in the first part of this paper. Here we give a complete characterization of all finite groups that are not p′-nilpotent but all of whose proper subgroups are p′-nilpotent.
S. Srinivasan
doaj   +1 more source

Simultaneous Bosonic and Fermionic T‐Dualization of the Type II Superstring Theory—Buscher Approach and Double Space Representation

Fortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract In this article I consider type II superstring in the pure spinor formulation with constant background fields in the context of T‐dualization. First, I prove that bosonic and fermionic T‐dualization commute using already known T‐dual transformation laws for bosonic and fermionic T‐dualization.
B. Nikolić
wiley   +1 more source

On Nilpotent Algebras [PDF]

Transactions of the American Mathematical Society, 1903
that is, (g'h' ) (g"h") is (g'h"') or 0 according as h' is or is not the same as g". Each class forms a sub-algebra of the algebra, the class (11) containing the idempotent basis. The class (22) may or may not contain an idempotent. If (11) contains two distinct idempotents, the process may be repeated, giving classes which we may represent by (11 ...
openaire   +1 more source

On stabilizers in finite permutation groups

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley   +1 more source