Sifting algorithm for group generated by a set

cs.stackexchange https://cs.stackexchange.com/questions/60626

  •  04-11-2019
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문제

On page 38 of "Lecture Notes in Computer Science" by Christoph M. Hoffmann, there is an algorithm (ALGORITHM 2).

I have some confusions.

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Why it is written that an entry $M_{i,j}, j < i$, cannot be referenced? what is the meaning of "reference" here?

Thanks.

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