Is the bold part of the following statement grammatically correct?
Let $A$ be the set of all cycles in $B$ which their lengths are congruent to $i$ modulo 7.
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That appears to be a relative clause, and it appears to be ungrammatical. But it might not be, because only this part has been shown, and not its context. The context is important, since relative clauses are subordinate, and the main clause governs everything. – John Lawler Mar 13 '15 at 15:54
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I edited the question. – user112887 Mar 13 '15 at 15:56
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1This is now proofreading. "Is it correct?" In order for it not to be proof-reading, you need to point out where you believe it might be wrong. – Andrew Leach♦ Mar 13 '15 at 16:04
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2Hint: whose.. – Ian MacDonald Mar 13 '15 at 16:05
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@AndrewLeach This statement : "...are congruent to $i$ modulo 7". – user112887 Mar 13 '15 at 16:06
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The bold part is correct... But the first part is not.
Maybe
Let $A$ be the set of all cycles in $B$ whose lengths are congruent to $i$ modulo 7.
or
Let $A$ be the set of all cycles in $B$ with length congruent to $i$ modulo 7.
