نتایج جستجو برای: modular p group

تعداد نتایج: 2024827  

2007
Michael M. Schein Richard Taylor

Let F be a totally real field and ρ : Gal(F/F )→ GL2(Fp) a Galois representation whose restriction to a decomposition group at some place dividing p is irreducible. Suppose that ρ is modular of some weight σ. We specify a set of weights, not containing σ, such that ρ is modular for at least one weight in this set. Let F be a totally real field and p a prime, and consider a Galois representation...

Journal: :Communications in Mathematical Physics 1996

Journal: :Journal of the Australian Mathematical Society 2011

Journal: :Rocky Mountain Journal of Mathematics 2019

Journal: :Proceedings of the American Mathematical Society 1996

2005
P. Guerzhoy

Let τ be a point in the upper half-plane such that the elliptic curve corresponding to τ can be defined over Q, and let f be a modular form on the full modular group with rational Fourier coefficients. By applying the Ramanujan differential operator D to f , we obtain a family of modular forms Dlf . In this paper we study the behavior of Dl(f)(τ) modulo the powers of a prime p > 3. We show that...

R. Orfi S. Fouladi

Let $G$ be a $p$-group of order $p^n$ and $Phi$=$Phi(G)$ be the Frattini subgroup of $G$. It is shown that the nilpotency class of $Autf(G)$, the group of all automorphisms of $G$ centralizing $G/ Fr(G)$, takes the maximum value $n-2$ if and only if $G$ is of maximal class. We also determine the nilpotency class of $Autf(G)$ when $G$ is a finite abelian $p$-group.

A. Aghanians K. Nourouzi

In this paper, we discuss the existence and uniqueness of xed points for Banach and Kannancontractions dened on modular spaces endowed with a graph. We do not impose the Δ2-conditionor the Fatou property on the modular spaces to give generalizations of some recent results. Thegiven results play as a modular version of metric xed point results.

2008
IDO EFRAT JÁN MINÁČ

Let p be an odd prime number and F a field containing a primitive pth root of unity. We prove a new restriction on the group-theoretic structure of the absolute Galois group GF of F . Namely, the third subgroup G (3) F in the descending p-central sequence of GF is the intersection of all open normal subgroups N such that GF /N is 1, Z/p , or the modular group Mp3 of order p .

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