Liverpool midfielder Dominik Szoboszlai with Liverpool fans inset
Dominik Szoboszlai was caught celebrating too earlyImago
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The Reds peppered the visitors' penalty box in the first half, but faded after the break and ultimately failed to take a single shot on target.
The defeat has left Andoni Iraola's side nine points behind Arsenal, who now lead the Premier League after Manchester City dropped points against Brighton on Saturday.
In what was a intense and chaotic game from start to finish, Football Insider has picked out five moments you might have missed.
Andy Madley booed off
Referee Andy Madley was at the centre of several key flashpoints that angered both Liverpool fans and Arsenal fans.
But it was his failure to award a penalty when Isak's shirt was pulled back that will be his biggest criticism following the game.
Madley was met by boos and chants of "cheat" as he walked off the pitch at Anfield on Sunday.
Dominik Szoboszlai celebrates too early
Liverpool came close to finding the equaliser several times in the first half, with Florian Wirtz's free kick among their best efforts.
Dominik Szoboszlai, sitting on the bench at the time, jumped up in celebration, but quickly realised he had gone too early.
As he fell to his knees, one Arsenal fan was caught on camera laughing and waving at the Argentine.
Arsenal fan celebrates in the home end
Clearly failing to have gotten ticket in the away end, one Arsenal fan was pictured celebrating in the home end at Anfield.
The fan, wearing an Arsenal shirt and waving a red and white flag, was jumping up and down in his seat at the end of the game.
He was subsequently shown away by a steward, having certainly got his money's worth.
Noni Madueke appears to fire jab at final whistle
Having been involved in a scrap, in which Mac Allister had attempted to get Noni Madueke sent off for a touch of heads, the Arsenal winger was fired up at full-time.
Cameras showed him celebrating at the whistle, with some lip readers suggesting that he was shouting, "cry more", to the Liverpool players.
Luckily, no further scuffles would take place as the players shook hands following what had been a battle.