To try getting better understanding of automorphism groups, i tried computing those of products of cyclic groups. For example to compute $\text{Aut}(\mathbb Z \times \mathbb Z / 4)$, i could use the generators $((1,0), (0,1))$ and check if the map induced by sending those to a different set of generators is an automorphism. Theres a lot of sets of generators however so this is tedious. What are some tricks to compute stuff like this faster?
2026-04-01 18:27:17.1775068037
Tricks to compute automorphism groups quickly
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