Corollary of Krull-Remak-Schmidt theorem for cancellation of factors in direct product
From Groupprops
Statement
If ,
, and
are groups of finite composition length such that the external direct products
and
are isomorphic, i.e.,
, then
.
Related facts
- Krull-Remak-Schmidt theorem
- Corollary of Krull-Remak-Schmidt theorem for cancellation of powers
- Direct product is cancellative for finite groups