# Space Efficient Representations of Finite Groups

26 Feb 2020 Das Bireswar Sharma Shivdutt Vaidyanathan P. R.

The Cayley table representation of a group uses $\mathcal{O}(n^2)$ words for a group of order $n$ and answers multiplication queries in time $\mathcal{O}(1)$. It is interesting to ask if there is a $o(n^2)$ space representation of groups that still has $\mathcal{O}(1)$ query-time... (read more)

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