Question
“Simple diagonal” and “twisted wreath” are types of these operations’ “finite primitive” groups described by the O’Nan–Scott theorem. Every group can be realized as a subgroup of these operations’ groups by Cayley’s theorem. These operations can be represented by matrices containing one entry of 1 in each row and column and 0 everywhere else. These operations are the elements of a symmetric group. The parity of these operations is determined by the number of inversions they contain. When these operations have no fixed points, they are called derangements. The number of these operations on a set with n elements is n factorial. For 10 points, name these rearrangements of a set that consider order. ■END■
ANSWER: permutations [accept permutation groups; prompt on symmetric groups until read by asking “what operations are the elements of symmetric groups?”]
<Other Science>
= Average correct buzz position
Summary
2023 ACF Winter @ Columbia | 11/11/2023 | Y | 9 | 100% | 0% | 33% | 95.00 |
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Dylan Epstein-Gross (DII) | Princeton A | Yale B | 42 | 10 |
Jason Qin | Columbia B | NYU A | 49 | -5 |
Iyanu Nafiu | Yale C | Cornell C | 58 | -5 |
Forrest Weintraub | Columbia A | Yale A | 66 | 10 |
Sam Macchi | Vassar | Penn A | 67 | -5 |
Vincent Zhang | Penn B | Princeton B | 81 | 10 |
Aum Mundhe | Rutgers A | Bard A | 101 | 10 |
Arjun Bothra | Haverford | Rutgers B | 109 | 10 |
Owen Mimno | NYU A | Columbia B | 114 | 10 |
Anirudh Bharadwaj | Penn A | Vassar | 114 | 10 |
Richard Niu | Cornell C | Yale C | 114 | 10 |
Omar Mahmood | NYU B | Columbia C | 114 | 10 |