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On Brauer invariants of finite groups
Mathematische Zeitschrift ( IF 0.8 ) Pub Date : 2021-06-18 , DOI: 10.1007/s00209-021-02773-z Stefan Gille
中文翻译:
关于有限群的布劳尔不变量
更新日期:2021-06-18
Mathematische Zeitschrift ( IF 0.8 ) Pub Date : 2021-06-18 , DOI: 10.1007/s00209-021-02773-z Stefan Gille
Let G be a finite group and F a field. We give an elementary proof that the group of normalized cohomological invariants of G over F with values in the Brauer group is isomorphic to \({{\,\mathrm{\mathrm {H}}\,}}^{2}(G,F^{\times })\).
中文翻译:
关于有限群的布劳尔不变量
设 G是一个有限群, F是一个域。我们给出了一个基本证明,即G对 F的归一化上同调不变量 群与 Brauer 群中的值同构为\({{\,\mathrm{\mathrm {H}}\,}}^{2}(G ,F^{\times })\)。