Algebra Seminar talk
2019-11-22
Sam Corson
Almost free groups of an unusual sort
Abstract:
Almost free groups (groups whose subgroups of smaller cardinality are free) have
furnished a plentitude of curious examples for 60 years. Some such groups can
be made
to satisfy further conditions which are satisfied by free groups, while still
failing
to be free. Principles of combinatorial set theory generally play a role in
such
constructions. I’ll give a review of almost free groups, including history and
some
examples, and present a very recent result.