SEMINAR: Groups and Combinatorics Seminar: A duality for mixed abelian groups
|Groups and Combinatorics Seminar: A duality for mixed abelian groups
Groups and Combinatorics Seminar
Phill Shultz (UWA) will speak on
A duality for mixed abelian groups
at 12 noon on Tuesday 29th of March in MLR2
Abstract: An abelian group is mixed if it contains non-zero elements of finite and of infinite order, and well mixed if it is not the direct sum of a torsion and a torsion-free group. The classification of well mixed groups is an intractable problem.
In this seminar, I will use a duality to describe the structure of well mixed groups G satisfying two finiteness conditions:
1. G has finite rank, that is, G contains a maximal free subgroup of finite dimension;
2. G is self-small, that is, the image of every homomorphism from G into an infinite direct sum of copies of G is contained in the direct sum of finitely many of these copies.
Maths Lecture Room 2
Tue, 29 Mar 2011 12:00
Tue, 29 Mar 2011 12:45
Michael Giudici <[email protected]>
Thu, 24 Mar 2011 17:20
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