Results 1 to 10 of about 7,352,836 (227)
Central Graded Division Algebras [PDF]
Journal of Algebra, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kang, M.C.
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POINTED HOPF ACTIONS ON CENTRAL SIMPLE DIVISION ALGEBRAS [PDF]
Transformation Groups, 2022 23 ...
ETINGOF, P., NEGRON, C.
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EUCLIDEAN MINIMA AND CENTRAL DIVISION ALGEBRAS [PDF]
International Journal of Number Theory, 2009 The notion of Euclidean minimum of a number field is a classical one. In this paper, we generalize it to central division algebras and establish some general results in this new context.
Bayer-Fluckiger, Eva +2 more
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Realizing central division algebras [PDF]
Pacific Journal of Mathematics, 1983 Eine torsionsfreie abelsche Gruppe heißt \(p\)-lokal, falls \(G\) durch alle Primzahlen \(\neq p\) teilbar ist. Ist \(E(G)\) der Endomorphismenring von \(G\), so heißt die Koeffizientenerweiterung \({\mathbb{Q}}\otimes E(G)\) der Quasiendomorphismenring von \(G\). Die Verff.
Charles Vinsonhaler
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Projective bases of division algebras and groups of central type [PDF]
Israel Journal of Mathematics, 2005 The paper under review continues the study, started by the first two authors, of those twisted group algebras over a field \(k\), which are in fact central division algebras. They have proved [see Isr. J. Math. 121, 173-198 (2001; Zbl 0978.16027)] that the groups corresponding to these algebras are nilpotent, and also, have reduced the presentation of ...
Eli Aljadeff, Darrell Haile
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Square-central and Artin–Schreier elements in division algebras [PDF]
Archiv Der Mathematik, 2015 We study the behavior of square-central elements and Artin-Schreier elements in division algebras of exponent 2 and degree a power of 2. We provide chain lemmas for such elements in division algebras over 2-fields $F$ of cohomological $2$-dimension $\operatorname{cd}_2(F) \leq 2$, and deduce a common slot lemma for tensor products of quaternion ...
Adam Chapman
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On the local langlands conjecture for central division algebras of indexp
Inventiones Mathematicae, 1980 exaly +2 more sources
Identities and central polynomials for real graded division algebras [PDF]
International Journal of Algebra and Computation, 2017 Let [Formula: see text] be a finite dimensional simple real algebra with a division grading by a finite abelian group [Formula: see text]. In this paper, we provide a finite basis for the [Formula: see text]-ideal of graded polynomial identities for [Formula: see text] and a finite basis for the [Formula: see text]-space of graded central polynomials ...
Diogo Diniz +2 more
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Finite Dimensional Hopf Actions on Central Division Algebras [PDF]
International Mathematics Research Notices, 2016 Let $\mathbb{k}$ be an algebraically closed field of characteristic zero. Let $D$ be a division algebra of degree $d$ over its center $Z(D)$. Assume that $\mathbb{k}\subset Z(D)$. We show that a finite group $G$ faithfully grades $D$ if and only if $G$ contains a normal abelian subgroup of index dividing $d$.
Cuadra-Diaz, Juan, Etingof, Pavel I
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Nicely semiramified division algebras over Henselian fields
International Journal of Mathematics and Mathematical Sciences, 2005 This paper deals with the structure of nicely semiramified valued division algebras. We prove that any defectless finite-dimensional central division algebra over a Henselian field E with an inertial maximal subfield and a totally ramified maximal ...
Karim Mounirh
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