Question: What type of group does 1946 National League tie-breaker series and 1946 Brooklyn Dodgers season have in common?
Context: The 1957 Brooklyn Dodgers season was overshadowed by Walter O'Malley's threat to move the Dodgers out of Brooklyn if the city did not build him a new stadium in that borough.  When the best the mayor could promise was a stadium in Queens, O'Malley made good on his threats and moved the team to Los Angeles after the season ended.  The Dodgers final game at Ebbets Field was on September 24 as they finished their 68th and last NL season, and their 75th overall, in Brooklyn in third place with an 84–70 record, eleven games behind the NL and World Series Champion Milwaukee Braves. The 1946 Brooklyn Dodgers season was their inaugural season in the All-America Football Conference.  The team finished 3-10-1, failing to qualify for the playoffs. The 1951 National League tie-breaker series was a best-of-three playoff series at the conclusion of Major League Baseball's (MLB) 1951 regular season to decide the winner of the National League (NL) pennant.  The games were played on October 1, 2, and 3, 1951, between the New York Giants and Brooklyn Dodgers.  It was necessary after both teams finished the season with identical win–loss records of 96–58.  It is most famous for the walk-off home run hit by Bobby Thomson of the Giants in the deciding game, which has come to be known as baseball's "Shot Heard 'Round the World". The Brooklyn Dodgers were an American football team that played in the National Football League from 1930 to 1943, and in 1944 as the Brooklyn Tigers.  The team played its home games at Ebbets Field of the baseball National League's team, the Brooklyn Dodgers.  In 1945, because of financial difficulties and the increasing scarcity of major league-level players because of the war-time defense requirements at the height of World War II, the team was merged with the Boston Yanks and were known as the Yanks for that season.  This old NFL franchise was not related to the earlier (second incarnation) American Football League II with a franchise that played as the Brooklyn Tigers for the first half of the 1936 season before moving to Rochester, New York and playing as the Rochester Tigers.  Another NFL team that played in the Brooklyn borough was the Brooklyn Lions (which became the Brooklyn Horsemen after merging with a team from an earlier first incarnation AFL of the same name) in 1926.  Later co-owner and partner Dan Topping (1912–1974), pulled the Tigers team out of the old NFL in 1946 and placed it in the newly established rival professional league – the All-America Football Conference, which shortly lasted until 1949 until several stronger teams from the AAFC merged with and entered a reorganized NFL in 1950.  It lasted until 1970 with the NFL-AFL (third) merger following the establishment of the first "Super Bowl" inter-league national championship game three years before with the old NFL champions playing the victors of the latest rival fourth incarnation of the American Football League IV, formed in 1960 (now the American Football Conference (AFC). Boyd Owen Bartley (February 11, 1920 – December 21, 2012) was a Major League Baseball player.  He played shortstop for the Brooklyn Dodgers in nine games during the 1943 Brooklyn Dodgers season.  He was born in Chicago.  He served in the military during World War II. The 1959 National League tie-breaker series was a best-of-three playoff series at the conclusion of Major League Baseball's (MLB) 1959 regular season to decide the winner of the National League (NL) pennant.  The games were played on September 28 and 29, 1959, between the Los Angeles Dodgers and the Milwaukee Braves.  The first game was played at Milwaukee County Stadium and the second took place at Los Angeles Memorial Coliseum.  The playoff series was necessary after both teams finished the season with identical win–loss records of 86–68.  The Dodgers won a coin flip late in the season that gave them home field advantage for the series, although the series did not reach a third game. The 1946 Brooklyn Dodgers finished the season tied for first place with the St. Louis Cardinals.  The two teams played in the first ever playoff series to decide the pennant, and the Cardinals took two straight to win the title. The 1946 National League tie-breaker series was a best-of-three playoff series at the conclusion of Major League Baseball's (MLB) 1946 regular season to decide the winner of the National League (NL) pennant.  The games were played on October 1 and October 3, 1946, between the St. Louis Cardinals and Brooklyn Dodgers.  It was necessary after both teams finished the season with identical win–loss records of 96–58.  This was the first ever tie-breaker series in MLB history. The 2017 Los Angeles Dodgers season is the 128th for the franchise in Major League Baseball, and their 60th season in Los Angeles, California.  They finished the season with the most wins in Los Angeles team history with a major league best 104 wins (2nd best in overall team history, tied with the 1942 team and behind only the 1953 Brooklyn Dodgers).  They won their fifth straight National League West championship and will play the wild card winner in the Division Series. The 1962 National League tie-breaker series was a three-game playoff series at the conclusion of Major League Baseball's (MLB) 1962 regular season to determine the winner of the National League (NL) pennant.  The games were played from October 1 to 3, 1962, between the Los Angeles Dodgers and the San Francisco Giants.  The Giants won the series, two games to one.  The first game took place at Candlestick Park and the second and third were played at Dodger Stadium.  The playoff series was necessary after both teams finished the season with identical win–loss records of 101–61.  The Dodgers won a coin flip late in the season, which gave them home field advantage for the series.
Answer: teams