Species Dominance, Artilects, Artilect War, Cosmists, Terrans, Gigadeath, Essays, Media, etc


Lecture Topic : FINITE GROUP THEORY (M2, Kaplansky)

Prerequisites : Finite Group Theory (M1); Abstract Algebra (M1);

Recommended Text(s) :

“Infinite Abelian Groups”, Irving Kaplansky,UniversityofMichiganPress, 1954.

Approx price new on (hard copy) :  –

Approx price second hand on (hard copy) : $13

Availability free on (e-format) : Yes

eMule search key word(s) : Kaplansky, Infinite Abelian Groups

Lectures and Links :


Lecture 1  (link)

Ch.1   Introduction

Ch.2   Examples of Abelian Groups


Lecture 2  (link)

Ch.3   Torsion Groups

Ch.4   Zorn’s Lemma


Lecture 3  (link)

Ch.5   Divisible Groups

Ch.6   Three Test Problems


Lecture 4  (link)

Ch.7   Pure Subgroups

Ch.8   Groups of Bounded Order


Lecture 5   (link)

Ch.9   Height

Ch.10   Direct Sums of Cyclic Groups


Lecture 6   (link)

Ch.11  Ulm’s Theorem

Ch.12   Modules and Linear Transformations


Lecture 7   (link)

Ch.13   Banach Spaces

Ch.14   Valuation Rings


Lecture 8   (link)

Ch.15   Torsion-Free Modules

Ch.16   Complete  Modules


Lecture 9  (link)

Ch.17   The Algebraic Structure of Compact Abelian Groups

Ch.18   Characteristic Submodules


Lecture 10  (link)

Ch.19   The Ring of Endomorphisms

Ch.20   Guide  to the  Literature


Links to Other Lecturers on this Topic :

%d bloggers like this: