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In game play, players attempt to create goal-scoring opportunities through individual control of the ball, such as by dribbling, passing the ball to a team-mate, and by taking shots at the goal, which is guarded by the opposing goalkeeper. Opposing players may try to regain control of the ball by intercepting a pass or through tackling the opponent in possession of the ball; however, physical contact between opponents is restricted. Football is generally a free-flowing game, with play stopping only when the ball has left the field of play or when play is stopped by the referee for an infringement of the rules. After a stoppage, play recommences with a specified restart.

Who guards the goal?
Answer: goalkeeper
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This set inherits a group operation (sometimes called coset multiplication, or coset addition) from the original group G: (gN) (hN) = (gh)N for all g and h in G. This definition is motivated by the idea (itself an instance of general structural considerations outlined above) that the map G G / N that associates to any element g its coset gN be a group homomorphism, or by general abstract considerations called universal properties. The coset eN = N serves as the identity in this group, and the inverse of gN in the quotient group is (gN)1 = (g1)N.e["]

What is another term for coset multiplication?
Answer: coset addition
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By the late 1960s, many of the resort's once great hotels were suffering from embarrassing vacancy rates. Most of them were either shut down, converted to cheap apartments, or converted to nursing home facilities by the end of the decade. Prior to and during the advent of legalized gaming, many of these hotels were demolished. The Breakers, the Chelsea, the Brighton, the Shelburne, the Mayflower, the Traymore, and the Marlborough-Blenheim were demolished in the 1970s and 1980s. Of the many pre-casino resorts that bordered the boardwalk, only the Claridge, the Dennis, the Ritz-Carlton, and the Haddon Hall survive to this day as parts of Bally's Atlantic City, a condo complex, and Resorts Atlantic City. The old Ambassador Hotel was purchased by Ramada in 1978 and was gutted to become the Tropicana Casino and Resort Atlantic City, only reusing the steelwork of the original building. Smaller hotels off the boardwalk, such as the Madison also survived.

Prior to and during the advent of legalized gaming, what happened to many of the hotels in Atlantic City?
Answer:
demolished