problem with a map

I'm using vim 7.4.1317 on Windows 7.

I often use the following command:
:g/^\d\+\.$/normal O jVjjJ

and I'd like to use it in a map. How can do it?

I tried with:
map ,p :g/^\d\+\.$/normal O jVjjJ

but it doesn't work.

I also noted that
exe "g/^\\d\\+\\.$/normal O\<Esc>jVjjJ"
works, but not when it is inside a map, as in:
map ,p exe "g/^\\d\\+\\.$/normal O\<Esc>jVjjJ"


Many thanks in advance,

--
Cesar

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