Title of the course: The theory of group extensions
Instructor: Dr. Mattia Brescia
Institution: Università degli Studi di Napoli Federico II
Dates: 3-9 August 2026
Prerequisites: Undergraduate algebra, basic group theory
Level: Graduate, advanced undergraduate
Abstract: The object of extension theory is to show how a group can be constructed from a normal subgroup and its quotient group. In this subject concepts from homological algebra arise naturally and contribute greatly to the understanding of it. This course will introduce the necessary homological machinery, including the definitions of the (co)homology groups, and will present the classical theory of group extensions developed by O. Holder and O. Schreier, together with the homological implications of the theory in the version presented by K.W. Gruenberg.
Language: English