1

Let $G$ and $H$ be finite groups then proof that $l(G \times H) = l(G) + l(H)$ and $fact(G \times H) = fact(G) \cup fact(H)$. Where $l$ is the length of any of its composition series and $fact$ are the factors of any of its composition series.

I don't really see how I would build a composition series for the product.

user1868607
  • 5,791
  • This may help: http://math.stackexchange.com/questions/485512/subgroups-of-a-direct-product – paf Aug 15 '16 at 20:42
  • I found the answer here http://www.mscs.dal.ca/~tkenney/3030/2012/solutions13.pdf i'll write it with more time – user1868607 Aug 15 '16 at 21:39

0 Answers0