Question

In: Advanced Math

in the group R* find elements a and b such that |a|=inf, |b|=inf and |ab|=2

in the group R* find elements a and b such that |a|=inf, |b|=inf and |ab|=2

Solutions

Expert Solution

The identity element in the group is   .

Suppose   and   .

As there is no   such that   so we can conclude that   . Also as there is no   such that   so we can conclude that  

Now  

Hence   ,   but   .


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