"quarrels between" is correct and usable in written English.
You can use it to describe two people or groups of people in conflict. For example: "The quarrels between the two families had been unresolved for years."
Quarrels between rival ticket sellers became commonplace.
But two big quarrels between Clinton and Sanders are important to the Democrats' future.
There are bitter quarrels between Brussels-bashing member states and the European commission.
And quarrels between men and women indicated that Ms. Bausch can find struggles everywhere.
But in recent years the quarrels between renters and management have become equally celebrated.
"A way must be found to eliminate war as a means of settling quarrels between nations".
They are specialists in carrying messages and negotiating adjustments in relations and the resolution of quarrels between states and peoples.
The intensity of Tory-Whig clashes before the Revolution spilled over into equally nasty quarrels between Jeffersonians and Hamiltonians afterward.
Does it explain the despotism and the deadly quarrels between sects, ideologies and regimes that preceded Israel's occupation in 1967?
He recalls quarrels between the adults, particularly over the austere architecture of Stalin Allee, a socialist housing project.
She enjoys the humorous quarrels between her mother & her Uncle Frederick & her mother's loud complaints about the castle's servants.
