The phrase "a small faction of" is correct and usable in written English.
It can be used to refer to a minor group within a larger organization or movement, often implying that this group has distinct beliefs or goals.
Example: "A small faction of the committee disagreed with the proposed changes to the policy."
Alternatives: "a minor group of" or "a limited segment of".
"There's a small faction of the Republican Party that opposes this at every level," he said.
Biden says that a "small faction" of the Party is mistrustful of even the occasional use of force.
Also on November 17, a small faction of the army announced its intent to overthrow Rajoelina's government.
A small faction of the writers took a quick trip downstairs to see how extreme the temperature had become.
McCall agreed, attributing the criticism to a small faction of conservatives who are simply louder in their opposition as opposed to larger in number.
The World Health Organization estimates that more than 70 million people around the world need wheelchairs, and in most developing countries, only a small faction of those who need wheelchairs own or have use of one.
They are part of a small faction on the right: conservatives with no use for religion.
Some leaders in the Movement for Democratic Change say they doubt Mr. Zuma has a real strategy to deal with Mr. Mugabe, but David Coltart, Zimbabwe's education minister and a member of a smaller faction of the party, said Mr. Zuma's meeting with Mr. Bennett showed South Africa's new president, in office a year now, has a more hands-on style of engagement.
The balance of power lies with a smaller faction of the MDC and BBC Southern Africa correspondent Karen Allen says its members are being courted by all sides.
"It's already destroyed the image of the giant," said Benyamin Elon, a leader of a small faction to the right of Mr. Sharon.
I think it must be evident to yourself, that the Ministry have been deceived by their officers on this side of the water, who (for what purpose I cannot tell) have constantly represented the American opposition as that of a small faction, in which the body of the people took little part.
