Project Euclid

References

• V. Andriychuk, Some applications of Hasse principle for pseudoglobal fields, Algebra Discrete Math. 2004, no. 2, 1–8.
  Mathematical Reviews (MathSciNet): MR2146594
  
• E. Artin and J. Tate, Class field theory, 2nd ed., Advanced Book Classics, Addison-Wesley, Redwood City, CA, 1990.
  Mathematical Reviews (MathSciNet): MR1043169
  
• F. Bruhat and J. Tits, Groupes algébriques sur un corps local. Chapitre III. Compléments et applications à la cohomologie galoisienne, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 3, 671–698.
  Mathematical Reviews (MathSciNet): MR927605
  
• I. B. Fesenko and S. V. Vostokov, Local fields and their extensions, 2nd ed., Translations of Mathematical Monographs, 121, Amer. Math. Soc., Providence, RI, 2002.
  Mathematical Reviews (MathSciNet): MR1915966
  
• G. Harder, Über die Galoiskohomologie halbeinfacher Matrizengruppen, I. Math. Z. Bd. 90 (1965), 404–428.
  Mathematical Reviews (MathSciNet): MR190264
  Digital Object Identifier: doi:10.1007/BF01112362
  
• G. Harder, Über die Galoiskohomologie halbeinfacher algebraischer Gruppen. III, J. Reine Angew. Math. 274/275 (1975), 125–138.
  Mathematical Reviews (MathSciNet): MR382469
  
• Y. Kawada, Class formulations. V. Infinite extension of the $p$-adic field or the rational field, J. Math. Soc. Japan 12 (1960), 34–64.
  Mathematical Reviews (MathSciNet): MR147473
  Digital Object Identifier: doi:10.2969/jmsj/01210034
  Project Euclid: euclid.jmsj/1261148059
  
• M. Kneser, Lectures on Galois cohomology of classical groups, Tata Inst. Fund. Res., Bombay, 1969.
  Mathematical Reviews (MathSciNet): MR340440
  
• K. Kozioł and M. Kula, Witt rings of infinite algebraic extensions of global fields, Ann. Math. Sil. 12 (1998), 131–139.
  Mathematical Reviews (MathSciNet): MR1673009
  
• D. König, Sur les correspondances multivoques des ensembles, Fund. Math. 8 (1926), 114–134.
• J. S. Milne, Arithmetic duality theorems, 2nd ed., BookSurge, LLC, Charleston, SC, 2006.
  Mathematical Reviews (MathSciNet): MR2261462
  
• M. Moriya, Theorie der algebraischen Zahlkörper unendlichen Grades, Journ. Fac. Sci., Hokkaido Imp. Univ. 3 (1935), 107–190.
• M. Moriya, Divisionsalgebren über einem $\mathfrak{p}$-adischen Zahlkörper eines unendlichen algebraischen Zahlkörpers, Proc. Imp. Acad. 12 (1936), no. 7, 183–184.
  Mathematical Reviews (MathSciNet): MR1568434
  Digital Object Identifier: doi:10.3792/pia/1195580136
  Project Euclid: euclid.pja/1195580136
  
• N. T. Ngoan and N. Q. Thǎńg, On some Hasse principles for algebraic groups over global fields, Proc. Japan Acad. Ser. A Math. Sci. 90 (2014), no. 5, 73–78.
  Mathematical Reviews (MathSciNet): MR3201838
  Digital Object Identifier: doi:10.3792/pjaa.90.73
  Project Euclid: euclid.pja/1398949124
  
• N. T. Ngoan and N. Q. Thǎńg, On the arithmetic of algebraic groups over infinite global fields. (in preparation).
• V. Platonov and A. Rapinchuk, Algebraic groups and number theory, translated from the 1991 Russian original by Rachel Rowen, Pure and Applied Mathematics, 139, Academic Press, Boston, MA, 1994.
  Mathematical Reviews (MathSciNet): MR1278263
  
• J.-J. Sansuc, Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres, J. Reine Angew. Math. 327 (1981), 12–80.
  Mathematical Reviews (MathSciNet): MR631309
  
• W. Scharlau, Klassifikation hermitescher Formen über lokalen Körpern, Math. Ann. 186 (1970), 201–208.
  Mathematical Reviews (MathSciNet): MR263874
  Digital Object Identifier: doi:10.1007/BF01433278
  
• W. Scharlau, Quadratic and Hermitian forms, Grundlehren der Mathematischen Wissenschaften, 270, Springer, Berlin, 1985.
  Mathematical Reviews (MathSciNet): MR770063
  
• O. F. G. Schilling, The Theory of Valuations, Mathematical Surveys, No. 4, Amer. Math. Soc., New York, NY, 1950.
  Mathematical Reviews (MathSciNet): MR43776
  
• J.-P. Serre, Cohomologie galoisienne, 5th ed., Lecture Notes in Mathematics, 5, Springer, Berlin, 1994. (English translation: Galois cohomology, Springer, 1997).
  Mathematical Reviews (MathSciNet): MR1324577
  
• M. A. Tsfasman and S. G. Vlăduţ, Infinite global fields and the generalized Brauer-Siegel theorem, Mosc. Math. J. 2 (2002), no. 2, 329–402.
  Mathematical Reviews (MathSciNet): MR1944510
  
• T. Tsukamoto, On the local theory of quaternionic anti-hermitian forms, J. Math. Soc. Japan 13 (1961), 387–400.
  Mathematical Reviews (MathSciNet): MR136662
  Digital Object Identifier: doi:10.2969/jmsj/01340387
  Project Euclid: euclid.jmsj/1261062624