Results 21 to 30 of about 100 (95)
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
wiley +1 more source
On the theories classified by an étendue
Abstract We give a model‐theoretic characterisation of the geometric theories classified by étendues—the ‘locally localic’ topoi. They are the theories where each model is determined, syntactically and semantically, by any witness of a fixed collection of formulae.
Joshua L. Wrigley
wiley +1 more source
Let X be a compact connected Riemann surface of genus g≥2 and let E be a holomorphic vector bundle of rank n over X. The compactness and connectedness of X imply that the characteristic polynomial of any holomorphic endomorphism φ∈H0(X,End(E)) has ...
Álvaro Antón-Sancho
doaj +1 more source
Abelian threefolds with imaginary multiplication
Abstract Let A$A$ be an abelian threefold defined over a number field K$K$ with potential multiplication by an imaginary quadratic field M$M$. Under mild assumptions on K$K$, if A$A$ has signature (2,1) and the multiplication by M$M$ is defined over KM$KM$, we attach to A$A$ an elliptic curve defined over K$K$ with potential complex multiplication by M$
Francesc Fité, Pip Goodman
wiley +1 more source
Endomorphism near-rings of 𝑝-groups generated by the automorphism and inner automorphism groups [PDF]
The purpose of this paper is to investigate the equality of the endomorphism near-rings generated by the automorphism group and inner automorphism group of a nonabelian p p
openaire +1 more source
Prismatic F‐crystals and Wach modules
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley +1 more source
Coverings of solenoids and automorphisms of semigroup C*-algebras
The paper deals with finite-sheeted covering mappings onto the C*-adic solenoids and limit endomorphisms of semigroup C*-algebras. The aim of our exposition is two-fold: firstly, to present the results concerning the above-mentioned mappings and ...
R.N. Gumerov
doaj
On the tightness of left‐invariant contact structures
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley +1 more source
On automorphism groups and endomorphism rings of abelian 𝑝-groups [PDF]
Let A A be a noncyclic abelian
openaire +1 more source
An example exploration of the T.Yoshida theorem(T.Yoshida定理的一个实例探讨)
Combining the relevant theories of finite group theory and elementary number theory, and using the properties of congruence equations, a class of non-abelian groups of order 16p2 is determined. By exploring the orders of elements and generating relations,
MENG Xiaole(孟晓乐) +2 more
doaj +1 more source

