All reports by Author Ohad Klein:

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TR23-195
| 6th December 2023
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Shai Evra, Shay Gadot, Ohad Klein, Ilan Komargodski#### Verifying Groups in Linear Time

Shai Evra, Shay Gadot, Ohad Klein, Ilan Komargodski

We consider the following problem: Given an $n \times n$ multiplication table, decide whether it is a Cayley multiplication table of a group. Among deterministic algorithms for this problem, the best known algorithm is implied by F. W. Light's associativity test (1949) and has running time of $O(n^2 \log n)$. ... more >>>