Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We prove vanishing results for the unramified stable cohomology of alternating groups.
Słowa kluczowe
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
936-948
Opis fizyczny
Daty
wydano
2011-10-01
online
2011-07-26
Twórcy
autor
- Courant Institute of Mathematical Sciences
autor
- California State University
Bibliografia
- [1] Adem A., Milgram R.J., Cohomology of Finite Groups, 2nd ed., Grundlehren Math. Wiss., 309, Springer, Berlin, 2004
- [2] Bogomolov F.A., The Brauer group of quotient spaces of linear representations, Math. USSR-Izv., 1988, 30(3), 455–485 http://dx.doi.org/10.1070/IM1988v030n03ABEH001024
- [3] Bogomolov F.A., Stable cohomology of groups and algebraic varieties, Russian Acad. Sci. Sb. Math., 1993, 76(1), 1–21 http://dx.doi.org/10.1070/SM1993v076n01ABEH003398
- [4] Bogomolov F., Maciel J., Petrov T., Unramified Brauer groups of finite simple groups of Lie type Al, Amer. J. Math., 2004, 126(4), 935–949 http://dx.doi.org/10.1353/ajm.2004.0024
- [5] Bogomolov F., Petrov T., Tschinkel Yu., Unramified cohomology of finite groups of Lie type, In: Cohomological and Geometric Approaches to Rationality Problems, Progr. Math., 282, Birkhäuser, Boston, 2010, 55–73 http://dx.doi.org/10.1007/978-0-8176-4934-0_3
- [6] Colliot-Thélène J.-L., Birational invariants, purity and the Gersten conjecture, In: K-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras, Santa Barbara, July 6–24, 1992, Proc. Sympos. Pure Math., 58(1), American Mathematical Society, Providence, 1995, 1–64
- [7] Colliot-Thélène J.-L., Ojanguren M., Variétés unirationnelles non rationnelles: au-delà de l’exemple d’Artin et Mumford, Invent. Math., 1989, 97(1), 141–158 http://dx.doi.org/10.1007/BF01850658
- [8] Fuks D.B., Cohomologies of the group COS mod 2, Funct. Anal. Appl., 1970, 4(2), 143–151 http://dx.doi.org/10.1007/BF01094491
- [9] Garibaldi S., Merkurjev A., Serre J.-P., Cohomological Invariants in Galois Cohomology, Univ. Lecture Ser., 28, American Mathematical Society, Providence, 2003
- [10] Kunyavskiĭ B., The Bogomolov multiplier of finite simple groups, In: Cohomological and Geometric Approaches to Rationality Problems, Progr. Math., 282, Birkhäuser, Boston, 2010, 209–217 http://dx.doi.org/10.1007/978-0-8176-4934-0_8
- [11] Mann B.M., The cohomology of the alternating groups, Michigan Math. J., 1985, 32(3), 267–277 http://dx.doi.org/10.1307/mmj/1029003238
- [12] Saltman D.J., Noether’s problem over an algebraically closed field, Invent. Math., 1984, 77(1), 71–84 http://dx.doi.org/10.1007/BF01389135
- [13] Swan R.G., Invariant rational functions and a problem of Steenrod, Invent. Math., 1969, 7(2), 148–158 http://dx.doi.org/10.1007/BF01389798
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-011-0061-8