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Crossed Products over Algebraic Function Fields

open access: yesJournal of Algebra, 1995
For every finite group \(G\), an integer \(m(G)\) is defined as the maximum over all primes \(p\) dividing the order of \(G\) of the minimal lengths of chains \(\{1 \}= P_0 \varsubsetneq P_1 \varsubsetneq \dots \varsubsetneq P_r =P\) where \(P\) is a Sylow \(p\)-subgroup of \(G\) and \(P_{i-1}\) is a normal subgroup in \(P_i\) such that \(P_i/ P_{i- 1}\
Fein, B., Schacher, M.
openaire   +1 more source

Loop Quantum Gravity Vacuum with Nondegenerate Geometry

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry.
Hanno Sahlmann, Tim Koslowski
doaj   +1 more source

Admissible groups, symmetric factor sets, and simple algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
Let K be a field of characteristic zero and suppose that D is a K-division algebra; i.e. a finite dimensional division algebra over K with center K. In Mollin [1] we proved that if K contains no non-trivial odd order roots of unity, then every finite odd
R. A. Mollin
doaj   +1 more source

Cohomology of algebraic varieties over non-archimedean fields [PDF]

open access: green, 2020
Pablo Cubides Kovacsics   +2 more
openalex   +1 more source

Invariants de Witt des involutions de bas degré en caractéristique 2

open access: yesComptes Rendus. Mathématique
A $3$-fold and a $5$-fold quadratic Pfister forms are canonically associated to every symplectic involution on a central simple algebra of degree $8$ over a field of characteristic $2$.
Tignol, Jean-Pierre
doaj   +1 more source

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