Results 61 to 70 of about 12,692,686 (297)
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
Regularity of extended conjugate graphs of finite groups
The extended conjugate graph associated to a finite group $ G $ is defined as an undirected graph with vertex set $ G $ such that two distinct vertices joined by an edge if they are conjugate.
Piyapat Dangpat, Teerapong Suksumran
doaj +1 more source
On stabilizers in finite permutation groups
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
Residually rationally solvable one‐relator groups
Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley +1 more source
Radical preservation and the finitistic dimension
Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
wiley +1 more source
Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps
Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama +2 more
wiley +1 more source
The structure of finite groups and ɵ-pairs of general subgroups
Using the concept of ɵ-pairs of proper subgroups of a finite group, we obtain some critical conditions of the supersolvability and nilpotency of finite groups.
Xu Yong, Hou Hailong, Zhang Xinjian
doaj +1 more source
Nilpotency and Theory of L-Subgroups of an L-Group
In this paper, the notion of commutator is modified and extended to L-setting. Also, the notion of descending central series is introduced which is used to formulate the important notion of nilpotent L-subgroup of an L-group.
Naseem Ajmal, Iffat Jahan
doaj +1 more source
Coxeter's enumeration of Coxeter groups
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source
Possible alternative mechanism to SUSY: conservative extensions of the Poincar\'e group
A group theoretical mechanism is outlined, which can indecomposably extend the Poincar\'e group by the compact internal (gauge) symmetries at the price of allowing some nilpotent (or, more precisely: solvable) internal symmetries in addition.
AL Onishchik +8 more
core +1 more source

