Rewriting the check of 8-rewritability for $A_5$

Details Rewriting the check of 8-rewritability for $A_5$ Rewriting the check of 8-rewritability for $A_5$

2010-05-05

arxiv.org/abs/1005.0715v1

Mathematics

Group Theory

5 pages

Scientific paper

The group $G$ is called $n$-rewritable for $n>1$, if for each sequence of $n$ elements $x_1, x_2, \dots, x_n \in G$ there exists a non-identity permutation $\sigma \in S_n$ such that $x_1 x_2 \cdots x_n = x_{\sigma(1)} x_{\sigma(2)} \cdots x_{\sigma(n)}$. Using computers, Blyth and Robinson (1990) verified that the alternating group $A_5$ is 8-rewritable. We report on an independent verification of this statement using the computational algebra system GAP, and compare the performance of our sequential and parallel code with the original one.

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