efaq: Repeating commands
5.29 How do I repeat a command as many times as possible?
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As of Emacs 20.3, there is indeed a ‘repeat’ command (‘C-x z’) that
repeats the last command. If you preface it with a prefix argument, the
prefix arg is applied to the command.
You can also type ‘C-x <ESC> <ESC>’ (‘repeat-complex-command’) to
reinvoke commands that used the minibuffer to get arguments. In
‘repeat-complex-command’ you can type ‘M-p’ and ‘M-n’ (and also up-arrow
and down-arrow, if your keyboard has these keys) to scan through all the
different complex commands you’ve typed.
To repeat a set of commands, use keyboard macros. Use ‘C-x (’ and
‘C-x )’ to make a keyboard macro that invokes the command and then type
‘C-x e’. 
(emacs)Keyboard Macros.
If you’re really desperate for the ‘.’ command in ‘vi’ that redoes
the last insertion/deletion, use VIPER, a ‘vi’ emulation mode which
comes with Emacs, and which appears to support it.
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