Algebra 1: Group theory

MTH3141

Synopsis

Groups in geometry, linear algebra, and number theory; cyclic and abelian groups; permutation groups; subgroups; cosets; normal subgroups and quotient groups; homomorphisms, isomorphisms and isomorphism theorems; group actions; Sylow theorems and group presentations.

Sourced from the Monash Handbook 2026.

Quick facts

Credit points: 6
Level: 3
Audience: Undergraduate
Type: Coursework
School: Faculty of Science
Faculty: School of Mathematics
Handbook year: 2026

Prerequisites (2)

Linear algebra (Advanced)MTH2025
Number theory and cryptographyMTH2137

What it unlocks (8)

Theory of computationFIT2014
Number theory and cryptographyMTH2137
Differential geometry (Advanced)MTH3115
Topology: The mathematics of shapeMTH3130
Number theory and cryptography (Advanced)MTH3137
Algebra 2: Rings and fieldsMTH3150
Network mathematicsMTH3170
Computational group theoryMTH4141

Offerings (1)

First semesterClayton · ON-CAMPUS

Listed in 6 areas of study

Applied mathematicsAdditional elective unit
MathematicsMathematics elective units
MathematicsMathematics elective units
Pure mathematicsAlgebra and number theory
Pure mathematicsAlgebra and number theory
Mathematical statisticsAdditional elective units