Kris Kobach, left, visits with a T.V. news reporter during a GOP Clean Sweep party Tuesday, Nov. 2, 2010 in Toepka. Kobach defeated Chris Biggs in the race for Sec. of State.

10:47 p.m. update

Topeka – A professor who helped write Arizona’s new immigration law has been elected Kansas secretary of state.

Republican Kris Kobach (KOH’-bahk) defeated Democratic incumbent Chris Biggs in Tuesday’s election.

Kobach had made combatting election fraud his major issue. He advocates requiring voters to show a photo ID at the polls. The secretary of state is Kansas’ top elections official.

But some voters supported Kobach because as a law professor, he’s advised cities and states, including Arizona, about cracking down on illegal immigration.

Biggs was appointed secretary of state in March to fill a vacancy.

• Associated Press

10:24 p.m. update

BULLETIN (AP) — Kris Kobach, GOP, elected Secretary of State, Kansas.

9:54 p.m. update

Kobach lead is staying at 57.8 percent.

9:35 p.m. update

Kobach’s lead is staying steady with 57.8 percent. Biggs is at 38.6 percent.

9:20 p.m. update

Kobach’s lead is increasing with 58 percent of the vote. Biggs has 38.3 percent.

9:02 p.m. update

Kobach continues to lead the race with 57.3 percent. Biggs is at 39.3 percent.

8:34 p.m. update

Kobach’s lead has diminished slightly. He now leads Biggs with 58 percent of the vote.

8:09 p.m. update

Kobach still leads with 59.3 percent of the vote.

7:57 p.m. update

Kobach still holds the lead with 55.2 percent of the vote.

Biggs has dropped back with 42.1 percent.

7:48 p.m. update

The race between Kobach and Biggs has tightened. Kobach has 49.3 percent of the votes, and Biggs is right behind with 47.7 percent.

7:39 p.m. update

Kobach’s lead has shrunk a bit as more precincts begin reporting. He’s now leading Biggs 58.5 percent to 36.3 percent.

7:25 p.m. update

Early results in the race for Kansas Secretary of State show Kris Kobach ahead of Chris Biggs, Phillip Horatio Lucas and Derek Langseth with 65.4% of the vote.