Telus sues Rogers over wireless network claims

* Telus alleges Rogers ads are false, misleading

* Alleges Rogers network is not fastest or most reliable

TORONTO Nov 18 (Reuters) - Telus Corp (T.TO) Canada's No. 2 phone company, has sued Rogers Communications Inc (RCIb.TO)(RCIb.TO) for allegedly misleading Canadians with advertising that claims Rogers' wireless network is the fastest and most reliable in the country.

In a document filed in the Supreme Court of British Columbia, Telus claims the Rogers ads are "both false and misleading" now that Telus has launched its own upgraded wireless network.

Telus states that on Nov. 5, when it launched the new network, it demanded that Rogers stop making the "fastest" and "most reliable" claims.

"Rogers has refused or neglected to comply with this demand, in whole or in part," Telus alleges in the court document.

Rogers, which owns Canada's biggest wireless carrier, was not immediately available for comment.

Telus seeks an injunction that would prohibit Rogers from distributing ads that contain the claims, as well as court costs and damages.

Telus teamed up with BCE Inc (BCE.TO), which operates Bell Canada, to upgrade its network. Until that upgrade, Rogers was the only carrier in Canada using GSM wireless technology, which effectively granted it a monopoly on Apple Inc's (AAPL.O) popular iPhone.

Since the upgrade, both BCE and Telus have been selling the iPhone.

(Reporting by Wojtek Dabrowski; editing by Frank McGurty)