CHICAGO—Thanks to Jim Thome’s bat and Ken Griffey Jr.’s arm, the AL Central has a winner at last: the Chicago White Sox.

John Danks pitched eight innings of two-hit ball, Thome homered and Griffey threw out a runner at the plate with a tough tag by A.J. Pierzynski, helping Chicago beat the Minnesota Twins 1-0 in a 163rd-game tiebreaker for the division title Tuesday night.

The White Sox joined the Cubs in the postseason, the first time since 1906 that both Chicago teams are in.

Next up for the South Siders, a first-round matchup with the surprising Rays. Gam...

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