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Congruences and modular arithmetic

label Algebra
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I'm looking over the solution for one of my assignment questions, which is the picture you see here.

A part of a solution says "Supose [a] = [a]^-1.  This implies that a^2 is congruent to 1 mod p."  I do not get how it transitioned between the steps.

Oct 16th, 2017

Hey, can you post up the full solution? I just want to make sure I am interpreting the notation correctly before I answer your question. 

Apr 3rd, 2015

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Oct 16th, 2017
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Oct 16th, 2017
Oct 17th, 2017
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