Group Theory|Lecture 32|Group of units|Examples|U(10),U(12),U(14) are abelian group|Theta Classes

In previous lecture we had proved that group of units forms an abelian group under multiplication mod n. In this lecture first we revise what we studied so far after that we take some special cases of group of units which we will prove is an abelian group one by one. First we take U(10) and then we will prepare composition table and on looking at this table we can easily able to satisfy closure property, existence of identity, existence of inverse and if the composition table is symmetric about principal diagonal we will also say that commutativity is also satisfied. After that we will take U(12) and at last we take U(14).
In case if any student finds any difficulty in understanding this lecture do mention it in comment section.
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Thank You.

[SS.shorts]

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