Result on the p-parts of the Galois eigenspaces of an ideal class group
In algebraic number theory, the Gras conjecture (Gras 1977) relates the p-parts of the Galois eigenspaces of an ideal class group to the group of global units modulo cyclotomic units. It was proved by Mazur & Wiles (1984) as a corollary of their work on the main conjecture of Iwasawa theory. Kolyvagin (1990) later gave a simpler proof using Euler systems. A version of the Gras conjecture applying to ray class groups was later proven by Timothy All.
In algebraic number theory, the Grasconjecture (Gras 1977) relates the p-parts of the Galois eigenspaces of an ideal class group to the group of global...
the Kummer–Vandiver conjecture and proved for all primes by Mazur and Wiles (1984). The Herbrand–Ribet theorem and the Grasconjecture are both easy consequences...
Look up gras in Wiktionary, the free dictionary. Gras may refer to: Basile Gras (1836–1901), French firearm designer Enrico Gras (1919–1981), Italian filmmaker...
Kolyvagin used this Euler system to give an elementary proof of the Grasconjecture. Kolyvagin constructed an Euler system from the Heegner points of an...
Grasconjectures and Rubin's integral refinement of the abelian Stark conjectures. He has also made important contributions to the Stark conjectures over...
the production of foie gras is currently forbidden, though it is legal to import it. In August 2003, Argentina banned foie gras production as it is considered...
integers of L and some element α in it. The principal ideal theorem was conjectured by David Hilbert (1902), and was the last remaining aspect of his program...
developed in the period of several decades, giving rise to a set of conjectures by Hilbert that were subsequently proved by Takagi and Artin (with the...
Retrieved 10 January 2022. Godoy, Maria (14 March 2013). "It's Russian Mardi Gras: Time For Pancakes, Butter And Fistfights". NPR. Retrieved 10 January 2022...
exotoxins or endotoxins and are generally recognized as safe (have been granted GRAS status) by the Food and Drug Administration of the United States. The total...
Sage, Adam (3 January 2022). "Rower, 74, tackles Atlantic fuelled by foie gras and champagne". The Times. Retrieved 22 January 2022. "French adventurer...
Carthage ou la geste d'Elissa, 1978. Michael Grant, Roman Myths, 1973. M. Gras/P. Rouillard/J. Teixidor, L'univers phénicien, 1995. H.D. Gray, Did Shakespeare...
importance of the LAB is further evidenced by their generally recognized as safe (GRAS) status, due to their ubiquitous appearance in food and their contribution...
forehead. The precise location of the crucifixion remains a matter of conjecture, but the biblical accounts indicate that it was outside the city walls...
March 2023. Chevreul ME (8 May 1815). "Recherches chimiques sur les corps gras, et particulièrement sur leurs combinaisons avec les alcalis. Sixième mémoire...
hypothesizes a "lost root" "fëmen", connecting with Old Norse fimr and conjecturing a Gothic "fiman, fam, fêmun?". During 18th to 19th century Romanticism...
Mathematics, vol. 151, New York: Springer-Verlag, ISBN 978-0-387-94325-1 Gras, Georges (2005), Class field theory: From theory to practice, New York: Springer...
parts of the Italian peninsula. Scholars such as Norbert Oettinger, Michel Gras and Carlo De Simone think that Lemnian is the testimony of an Etruscan commercial...
classical library. W. Heinemann. p. 589 (index). ISBN 9780674994607. Cf. the conjecture in the index to the Loeb Classics Library translation that Pliny's homo...
Italian). Vol. 3. Amherst: University of Massachusetts Amherst. pp. 1–34. Gras, Michel (1976). "La piraterie tyrrhénienne en mer Egée: mythe ou réalité...
fixed-point extensions to modal style logics. Later Moshe Y. Vardi made a conjecture that a tree model would work for many modal style logics. The guarded...
challenges while wearing wearable devices. In that study the authors conjectured that data may be highly skewed by cohorts of already healthy users, rather...
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