To challenge it would be a big step towards imposing greater party discipline on the Senate.
The more worrying changes have come in the Senate, traditionally more resistant to party discipline.
His replacement, Thomas Mulcair, has started well, imposing party discipline, dropping leftist talk and moving towards the centre.
That is because Argentina's proportional-voting system encourages party discipline as elections draw near.
Despite the massive rebellions in Tony Blair's second term on such issues as Iraq, foundation hospitals and top-up fees, there has been no collapse in party discipline.
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The Republican senators then gave their leader, Bill Frist, an instrument for enforcing party discipline: he may now fill some vacancies on committees himself, overriding traditions of seniority.
Sir George, who is in charge of party discipline, will ultimately decide whether to restore the party whip to the MP but, according to sources, Tuesday's meeting was only preliminary.
Traditionally, the House has had relatively weak party discipline.
David Cameron will be pondering what the implications of this election could be for internal party discipline: could UKIP's march forward see the battalions of Eurosceptic Tory MPs make life awkward for the prime minister?
There was a solid Lib Dem turnout against - they mobilised 62 of a possible 91 peers, confirming the powerful party discipline which has always allowed them to punch above their weight in the Lords.
But it does not look as though, right now, there are enough Republicans willing to vote to cut off debate, because, well, the party discipline is back and they don't want to embarrass the White House.
So the government's prospects for a whole flotilla of major bills now depends on the Lib Dem whips' ability to re-assert party discipline - and some senior figures seem quite content at what one called "last night's controlled detonation".
For one thing, the absence of that majority helps the chancellor, a right-winger as Social Democrats go, to discipline his party's restive left.
He plans to instil new discipline in the party by creating a national membership list for the first time, and giving the Conservative leadership the power to ditch embarrassing candidates, even if they have local backing.
The Democrats are lining up as an opposition party, and showing considerably more discipline than they did when in power.
The party whip system for ensuring voting discipline is less strict at the European Parliament than at Westminster, he explained.
But a poll of 501 adults carried out on behalf of the Conservative Party found 72% thought truancy and poor discipline in schools had worsened.
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To this end, a full 70 percent now agree that we need a new party dedicated to compromise, conciliation, fiscal discipline and economic growth that draws on the best ideas from both sides.
Then he tried to instill a little discipline in his ranks by denying tea party representatives posts they felt they deserved.
The coalition government ensured enough discipline to muster a majority despite every opposition party voting against.
Shortly after the November elections, Republicans en masse began to acknowledge that the party had lost its way on the issue of fiscal discipline during the Bush administration.
They have made much of their commitment to heeding the Tea Party's demands for change, particularly with respect to fiscal discipline and accountability.
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Conservative leader Michael Howard said the government had taken on his party's election priorities, such as immigration controls, cleaner hospitals, school discipline and policing.
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