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$s = 'aaaabaaaabaaaaabaaaab';;

$s =~ /^((.*).*)\2$/ and print "$1/$2";;
aaaabaaaaba/aaaabaaaab

$s =~ /^((.*).*)\1*\2$/ and print "$1/$2";;
aaaabaaaaba/aaaabaaaab

$s = 'aaaabaaaabaaaaabaaaabaaaaabaaaab';;

$s =~ /^((.*).*)\1*\2$/ and print "$1/$2";;
aaaabaaaabaaaaabaaaaba/aaaabaaaab