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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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closed as off-topic by tchrist♦, Misti, ScotM, Hellion, Mari-Lou A Mar 24 '15 at 6:43

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "Proofreading questions are off-topic unless a specific source of concern in the text is clearly identified." – tchrist, Misti, ScotM, Hellion, Mari-Lou A
If this question can be reworded to fit the rules in the help center, please edit the question.

  • 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
  • I edited the question. – user112887 Mar 13 '15 at 15:56
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    This 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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    Hint: whose.. – Ian MacDonald Mar 13 '15 at 16:05
  • @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.

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  • but are lengths really congruent or are they just equal? – Jim Mar 13 '15 at 17:13
  • really congruent! – user112887 Mar 13 '15 at 19:43

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