Question
Noticing a certain symmetry of the simplicial k-module in Hochschild homology allows a generalization to a homology named for this property over objects with this property in an abelian category. If a Galois (“gal-WAH”) extension has this property, field elements of unit norm are characterized by Hilbert’s Theorem 90. Considering the Frobenius endomorphism shows that the Galois group of a finite field has this property. The multiplicative group of integers (*) modulo n has this property if and only if n is one, two, four, or either one or two times a power of an odd prime. By a fundamental structure theorem, any finitely generated abelian group is the direct sum of groups with this property, which represent rotational symmetries of a polygon. For 10 points, name this property of groups such as the integers modulo n that are generated by a single element. ■END■
Buzzes
Summary
Tournament | Edition | Exact Match? | TUH | Conv. % | Power % | Neg % | Average Buzz |
---|---|---|---|---|---|---|---|
2024 Chicago Open | 07/28/2024 | Y | 15 | 80% | 0% | 47% | 131.42 |