Results 1 to 10 of about 772 (199)
Induced Hopf Galois structures and their local Hopf Galois modules [PDF]
Publicacions Matemàtiques, 2022 The regular subgroup determining an induced Hopf Galois structure for a Galois extension $L/K$ is obtained as the direct product of the corresponding regular groups of the inducing subextensions. We describe here the associated Hopf algebra and Hopf action of an induced structure and we prove that they are obtained by tensoring the corresponding ...
Daniel Gil-Muñoz, Anna Rio
openalex +8 more sources
Galois module structure of Galois cohomology and partial Euler-Poincare characteristics [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2004 Let F be a field containing a primitive pth root of unity, and let U be an open normal subgroup of index p of the absolute Galois group G_F of F. Using the Bloch-Kato Conjecture we determine the structure of the cohomology group H^n(U,Fp) as an Fp[G_F/U]-module for all n in N.
Nicole Lemire +2 more
openalex +5 more sources
On Galois modules of vector spaces
Publicationes Mathematicae Debrecen, 2022 Summary:
E. Fried
openalex +3 more sources
Derived equivalence, recollements under H-Galois extensions
AIMS Mathematics, 2023 In this paper, assume that $ H $ is a Hopf algebra and $ A/B $ is an $ H $-Galois extension. Firstly, by introducing the concept of an $ H $-stable tilting complex $ T_{\bullet} $ over $ B $, we show that $ T_{\bullet}\otimes_BA $ is a tilting complex ...
Jinlei Dong, Fang Li, Longgang Sun
doaj +1 more source
Hopf Differential Graded Galois Extensions
Mathematics, 2022 We introduce the concept of Hopf dg Galois extensions. For a finite dimensional semisimple Hopf algebra H and an H-module dg algebra R, we show that D(R#H)≅D(RH) is equivalent to that R/RH is a Hopf differential graded Galois extension.
Bo-Ye Zhang
doaj +1 more source
An Efficient Audio Encryption Scheme Based on Finite Fields
IEEE Access, 2021 Finite fields are well-studied algebraic structures with enormous efficient properties which have applications in the fields of cryptology and coding theory.
Dawood Shah +5 more
doaj +1 more source
Galois $p$-groups and Galois modules [PDF]
Rocky Mountain Journal of Mathematics, 2016 28 pages. To appear in Rocky Mountain Journal of Mathematics.
Chebolu, Sunil +2 more
openaire +3 more sources
Hopf Quasigroup Galois Extensions and a Morita Equivalence
Mathematics, 2023 For H, a Hopf coquasigroup, and A, a left quasi-H-module algebra, we show that the smash product A#H is linked to the algebra of H invariants AH by a Morita context.
Huaiwen Guo, Shuanhong Wang
doaj +1 more source
Forum of Mathematics, Sigma, 2021 We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj +1 more source
Optimization and FPGA implementation of RS coding algorithm
Dianzi Jishu Yingyong, 2020 Aiming at the problems of large amount of computation and high complexity of multiplication of Galois Field(GF) in the common RS coding algorithm, the RS coding module is optimized and the multiplier factor is obtained.
Li Jinming, Liu Mengxin, Cheng Naipeng
doaj +1 more source