A)Consider the set of all non-negative integers, with addition as the binary operation.Is this group? why or why not? B)let G be a finte group . Show that there are an odd number of elements that satisfy the equation a^3 =e hint:1)if a is one solution , a^-1 is another 2)a=a^-1 only if a=e e alon with pairs of solution a.a^-1 b. b^-1. . . . . . so prove 1 and 2 the hint is true ?

Ashlynn Hale

Ashlynn Hale

Answered question

2022-08-07

A)Consider the set of all non-negative integers, with addition as the binary operation.Is this group? why or why not?
B)let G be a finte group . Show that there are an odd number of elements that satisfy the equation a^3 =e
hint:1)if a is one solution , a^-1 is another
2)a=a^-1 only if a=e
e alon with pairs of solution a.a^-1 b. b^-1. . . . . .
so;
so prove 1 and 2 the hint is true ?

Answer & Explanation

beentjie8e

beentjie8e

Beginner2022-08-08Added 20 answers

A) Yes this is a Group because all the results of binary operation will belong to the set.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?