Aisha Ahmed M
New member
- Joined
- Dec 11, 2021
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- 1
Let (G,•)be any group with subgroups (H1,•),(H2,•)...(Hn,•)of (G,•) prove that (G,•) is an internal direct product of (H1,•),(H2,•)...(Hn,•) if and only if. (1)Each (Hi,•),I=1,2...n is a normal subgroup of (G,•),. (2)H1nH2nH3...nHn={e}. (3)G=H1•H2•H3...•Hn