Georgia Tech's Bobby Cremins reportedly has declined a lucrative but unofficial offer to return to his alma mater to replace South Carolina's current basketball coach, Bill Foster.

The Atlanta Constitution, in a story published in today's editions, reported the school had made no official offer, but that South Carolina alumni had asked Cremins to accept a $400,000 contract offer with a $1 million contingency clause and, later, a $750,000-per-year four-year contract.

The newspaper said he declined both offers.

"I mean this. I hope Bill Foster keeps his job over there," Cremins was quoted as saying. "I've heard the rumors. If he doesn't keep his job , my name will come up over there, but I've started something here and I'm going to stay with it. I don't plan on talking with them and I don't plan on interviewing for any jobs that come open.

"I love South Carolina. I have a lot of good friends there. It's my alma mater. But I'm happy right where I am," said Cremins, whose 25-6 Yellow Jackets are the nation's sixth-ranked team. . . .

Jim Boeheim, who has coached his entire career at Syracuse, said he will not take the coaching job at Ohio State.

Boeheim, a Syracuse graduate, has a 229-76 record in 10 years. . . .

Bradley's basketball program is under investigation by the NCAA for alleged violations of the organization's rules. University President Martin G. Abegg said in a prepared statement that the school is conducting an investigation of its own. He did not specify the allegations lodged by the NCAA.

Bradley, 31-2 and ranked ninth, will play Texas-El Paso in the West regional of the NCAA tournament Thursday in Ogden, Utah. . . .

Boyd Grant, who led Fresno State to the 1983 National Invitation Tournament basketball championship, has resigned as the Bulldogs' coach.

Grant turned Fresno State into a perennial contender in the Pacific Coast Athletic Association and a regular participant in postseason play. His teams went 288-80 during his nine years and played in the NCAA tournament three times and the NIT twice.

"I felt this would be a good time to resign and leave the program," Grant, 52, said at a news conference. "Who knows where I'm going?" . . .

Tom Apke, whose Colorado basketball team set a Big Eight Conference record this year for failing to win a league game, has been fired. Apke completed his fifth year as the Buffaloes' coach with 17 straight losses and an 8-20 overall record. . . .

Walter Berry of St. John's was named college player of the year by the U.S. Basketball Writers Association, besting Duke's Johnny Dawkins.