Group Theory

From bibbleWiki
Revision as of 04:20, 18 April 2026 by Iwiseman (talk | contribs) (Created page with "=Introduction= A group is a '''set''' of '''elements''' equipped with a binary operator that satisfies the following properties. * Closure * Identity Element * Every element has an inverse * Associativity =Binary Operator= A binary operator is a type of operator that takes tow operands to perform an operation (or calculation) e.g. + - / * % e.g a . b a and b are the '''operands'''<br> . is the '''operator'''<br>")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

Introduction

A group is a set of elements equipped with a binary operator that satisfies the following properties.

  • Closure
  • Identity Element
  • Every element has an inverse
  • Associativity

Binary Operator

A binary operator is a type of operator that takes tow operands to perform an operation (or calculation) e.g. + - / * %

e.g a . b

a and b are the operands
. is the operator