Group Theory


Groups, subgroups, cyclic groups, direct products, symmetric groups, conjugation, centralizer, normal subgroups, quotient groups, homomorphisms. Finitely generated abelian groups. Sylow theorems and applications. Semidirect and wreath products. Free and solvable groups. Upper and lower central series. Nilpotent groups.


Objectives


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Syllabus

COURSE DETAILS

Level:

Type:

Undergraduate

(A-)


Instructors: Nikolaos Marmaridis
Department: Department of Mathematics
Institution: University of Ioannina
Subject: Mathematics
Rights: CC-BY-SA

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