Question

define the term group theory​

Answer 1

Answer:

$\huge{\mathcal{Group Theory}}$

Groups are sets equipped with an operation (like multiplication, addition, or composition) that satisfies certain basic properties.

$\boxed{Three\: Group \:Theories}$

1.number theory = For instance, they attached significance to perfect numbers—i.e., those that equal the sum of their proper divisors. Examples are 6 (whose proper divisors 1, 2, and 3 sum to 6) and 28 (1 + 2 + 4 + 7 + 14).

2.two expressions formulated by applying to a set of variables thealgebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

3. Geometry = Geometry is the part of mathematics that studies the size, shapes, positions and dimensions of things.

Answer 2

Group Theory

Groups are sets equipped with an operation (like multiplication, addition, or composition) that satisfies certain basic properties.