Packet 1: Bonus 10

Class field theory is studied using a cohomology named for this mathematician that considers normal and separable field extensions. For 10 points each:
[10e] Name this French mathematician who names the automorphism groups of a field extension used in a namesake branch of algebra. This mathematician died in a duel at the age of 20.
ANSWER: Évariste Galois (“gal-WAH”)
[10m] The first cohomology group of any Galois extension is trivial by this mathematician’s theorem 90. Another theorem by this mathematician asserts that adjoining variables to a ring preserves the Noetherian property.
ANSWER: David Hilbert
[10h] Over fields with this property, like the p-adics, the second cohomology group of any Galois extension is cyclic. A procedure named for this property introduces fractional denominators to a ring from a subset.
ANSWER: local [accept local fields; accept localization]
<Editors, Other Science> | J. Playoffs 1 (Editors 1)

HeardPPBE %M %H %
2412.9288%42%0%

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TeamOpponentPart 1Part 2Part 3TotalParts
British ColumbiaGeorgia Tech C1010020EM
BruinOhio State010010M
CambridgeMinnesota100010E
Columbia ANorthwestern A1010020EM
CornellBrown100010E
GeorgetownNorthwestern B0000
Georgia Tech AStanford B100010E
HarvardStanford A100010E
Illinois BUCF1010020EM
IndianaVirginia Tech1010020EM
Johns HopkinsNYU B100010E
MITUCLA1010020EM
NYU AMaryland A100010E
North CarolinaMaryland B100010E
Penn StateColumbia B0000
PittsburghIllinois A1010020EM
RutgersMichigan100010E
SwarthmoreChicago B100010E
TexasToronto B1010020EM
Toronto AUC Berkeley A100010E
UC Berkeley BChicago A1010020EM
VirginiaGeorgia Tech B100010E
WashUVanderbilt100010E
WaterlooPurdue1010020EM

Summary

TournamentEditionMatchHeardPPBE %M %H %
Main Site2026-04-17✓2412.9288%42%0%