Math Problem Statement

is there a group with five elements which is NOT isomorphic to Z_5 (0,1,2,3,4)

Solution

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Math Problem Analysis

Mathematical Concepts

Group Theory
Isomorphisms
Cyclic Groups
Lagrange's Theorem

Formulas

Lagrange's Theorem

Theorems

Lagrange's Theorem
Classification of Groups of Prime Order

Suitable Grade Level

Grades 11-12