This was our ninth consecutive victory in all competitions and we move above Tottenham in to third place in the Premier League table thanks to a superior goal difference.
Mahrez twice forced good saves out of Liverpool keeper Alisson Becker but then failed to finish.
First he dinked the ball over a defender deep in his own half before running on to make two key headers around the halfway line to allow the push forward to keep its momentum.
Substitutes Aaron Ramsey and Pierre Emerick-Aubameyand scored three goals and assisted a further two between them - achieving a milestone.
There are fears that Arsenal might lose star player Aaron Ramsey for free, without cashing in on him after they were unable to tie him down with a deal. We can get better from this performance.
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The Chinese government said the United States had no right to interfere in Chinese military cooperation with Russian Federation . But it also appears to reflect a growing willingness by Beijing to test the Americans in the South China Sea", he added.
With Ramsey also providing a superb through ball to set up Aubameyang's second - and Arsenal's fifth - his contribution to the win was huge, with all five of Arsenal's goals beautifully worked. The Gabon striker wasn't finished yet and, in the last minute, he smashed in Ramsey's pass for his sixth goal of the season.
Emery stated: "Yesterday he came in with pain and he can not train yesterday or play today".
Following the game, Keown appears to have criticised Ozil for missing the game and stated that Arsenal did not miss the ex-Germany global.
"The most important thing here is not that Torreira is the best player on the pitch, or that any other is the best, but what matters is that we win and keep growing as a team", Torreira said. Arsenal has now 18 points from 8 games while Chelsea still has the chance to reclaim the lost spot when they face Southampton.
Wales boss, Giggs is confident that the player has what it takes to play in any league in the World, stressing that the Gunners will find enough suitors for the player.
"We are happy because I think this shows the commitment we have in training and the quality and the understanding of our tactical position".