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Derived from
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20410746 AL440 – GROUP THEORY in Mathematics LM-40 TARTARONE FRANCESCA
(syllabus)
Recalls on the elementary properties of groups. Direct and semi-direct products. Permutation groups and simplicity of alternate groups. Actions on groups. Sylow's theorems. Finitely generated abelian groups, free groups, nilpotent groups and solvable groups. Since this is an advanced course, other topics can also be included upon request of the class.
(reference books)
A. Machì, Gruppi. Una introduzione a idee e metodi della Teoria dei Gruppi, SPRINGER VERLAG (2007).
M. Artin, Algebra, BOLLATI BORINGHIERI (1997).
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Università Roma Tre