Internal direct product

[Aisha Ahmed M]

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

 

[blamocur]

From https://www.freemathhelp.com/forum/threads/read-before-posting.109846/: Show your beginning work, or ask a specific question about the exercise, or explain why you're stuck.

 

[blamocur]

Also, please post the definition of internal direct product you are given in your class. Definitions on internet vary slightly, and some, for example, include (1) as a part of the definition.