Question

For a symmetrical number, give an example that the subtraction action does not follow the group property?

give me answer fast please.​

Answer 1

nh8

One of the most important and beautiful themes unifying many areas of modern

mathematics is the study of symmetry. Many of us have an intuitive idea of

symmetry, and we often think about certain shapes or patterns as being more or

less symmetric than others. A square is in some sense “more symmetric” than

a rectangle, which in turn is “more symmetric” than an arbitrary four-sided

shape. Can we make these ideas precise? Group theory is the mathematical

study of symmetry, and explores general ways of studying it in many distinct

settings. Group theory ties together many of the diverse topics we have already

explored – including sets, cardinality, number theory, isomorphism, and modu-

lar arithmetic – illustrating the deep unity of contemporary mathematics.

Answer 2

Answer:

COMMUTATIVE PROPERTY DOES NOT HOLD UNDER SUBSTRACTION IN GROUP THEORY

In details

For a group G

for a, b € G

a - b # b - a

For example take a =2, b= 10

Then

a - b = 2- 10 = - 8

b - a = 10 - 2 = 8

So

a - b # b - a

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