But Mr. Schmidt stressed the importance to Google of a network where anyone could plug in any device and have access to the full abilities of the Internet. In such an environment, Mr. Schmidt noted, mobile phone users would become significant consumers of online advertising, Google’s core business.

Google fears that some of its mobile efforts could be thwarted  or prove less lucrative  if a handful of cellphone carriers continue to dominate the wireless Internet world and retain the power to determine what services and applications run on their networks. Google’s set of proposed rules would have the F.C.C. require that any devices and any application could be connected to the wireless network using the auctioned spectrum. Further, they would require that whoever wins the spectrum make a portion of it available to resellers on a wholesale basis, which Google and other technology companies believe is necessary to promote broadband competition.

“I want people to have the choice to use our service,” said Chris Sacca, head of special initiatives at Google. “That is something that I fear won’t exist in this space.”

Even if Google’s service was not blocked outright, an open network would be favorable to Google’s business, as the company would not have to contract with carriers to insert ads into the service, said Paul Kedrosky, executive director of the William J. von Liebig Center for Entrepreneurism and Technology Advancement at the University of California, San Diego.

So what would Google do if its conditions were put in place and it won the auction?

Mr. Sacca said that Google was not likely to build a wireless network or get into the Internet service business itself. “We could offer it to anyone who wants to collaborate with us who embraces our principles of openness,” Mr. Sacca said.

The licenses, considered the beach-front property on the electromagnetic spectrum, are in the 700 megahertz band of radio frequencies, which are being surrendered by television stations as they convert to digital broadcast. The auction, to be held early next year, is expected to raise more than $10 billion in revenue for the government.

The commission has been heavily lobbied in recent months about crafting auction rules. The commission is expected to issue the rules in the coming weeks. Any rules can be adopted only by a majority of the five commissioners.