Results 81 to 90 of about 39,323 (189)
Annihilation of $\text{tor}_{Z_{p}}(\mathcal G_{K,S}^{ab})$ for real abelian extensions $K/Q$
Communications in Advanced Mathematical Sciences, 2018 Let $K$ be a real abelian extension of $\mathbb{Q}$. Let $p$ be a prime number, $S$ the set of $p$-places of $K$ and ${\mathcal G}_{K,S}$ the Galois group of the maximal $S \cup \{\infty\}$-ramified pro-$p$-extension of $K$ (i.e., unramified outside $p ...
Georges Gras
doaj +1 more source
Hochschild–Mitchell cohomology and Galois extensions
Journal of Pure and Applied Algebra, 2007 21 ...
Herscovich, E., Solotar, A.
openaire +6 more sources
Divisor classes in pseudo Galois extensions [PDF]
Pacific Journal of Mathematics, 1971 Let \(R\) be a Krull domain, and let \(S\) be the integral closure of \(R\) in a finite extension of its fraction field. Assume that there is a finite cocommutative Hopf algebra \(H\) acting on \(S\) over \(R\) (in geometric terms, a finite \(R\)-group scheme acting on \(\text{Spec}\,S\)).
openaire +2 more sources
The Galois endomorphism ring of a Galois Azumaya extension
International Journal of Algebra, 2013 Let B be a Galois Azumaya extension of B G with Galois group G; that is, B is a Galois extension of B G with Galois group G which is an Azumaya C G -algebra where C is the center of B. Denote B G by D and the endomorphism ring Hom(DB, DB) of the left D-module endomorphisms of B by Ω.
Xiaolong Jiang, George Szeto
openaire +1 more source
Wasit Journal for Pure SciencesThe study of finite extension of Galois rings in the recent past have given rise to commutative completely primary finite rings that have attracted much attention as they have yielded important results towards classification of finite rings into well ...
Hezron Were +3 more
doaj +1 more source
The Projective Character Tables of a Solvable Group 26:6×2
International Journal of Mathematics and Mathematical Sciences, 2019 The Chevalley–Dickson simple group G24 of Lie type G2 over the Galois field GF4 and of order 251596800=212.33.52.7.13 has a class of maximal subgroups of the form 24+6:A5×3, where 24+6 is a special 2-group with center Z24+6=24. Since 24 is normal in 24+6:
Abraham Love Prins
doaj +1 more source
AIP Advances, 2017 The aim of this work is to synthesize 8*8 substitution boxes (S-boxes) for block ciphers. The confusion creating potential of an S-box depends on its construction technique.
Anas Altaleb +3 more
doaj +1 more source
Forum of Mathematics, SigmaLet ${ F}/{ F}_0$ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $p\neq 2$ with Galois automorphism $\sigma $ , and let R be an algebraically closed field of characteristic $\ell ...
Robert Kurinczuk +2 more
doaj +1 more source
Comptes Rendus. MathématiqueLet $L/K$ be a cyclic extension of degree $n = 2m$. It is known that the space $\mathrm{Alt}_K(L)$ of alternating $K$-bilinear forms (skew-forms) on $L$ decomposes into a direct sum of $K$-subspaces $A^{\sigma ^i}$ indexed by the elements of $\mathrm{Gal}
Gupta, Ashish, Mandal, Sugata
doaj +1 more source
Extension of Size and Degree of (k,r)-Caps in PG(3,13)
Ibn Al-Haitham Journal for Pure and Applied SciencesThe aim of this work is an extension of the -caps ( is the order, is the degree), where , in the three projective space of dimension over the Galois field of order thirteen, .
Saja Makki Attook Attook +1 more
doaj +1 more source