[Turkmath:6715] METU Math. Dep. General Seminar

[Konstantin Zheltukhin]

Dear all,

We are happy to welcome Dr. Ebru Solak, METU Department of   
Mathematics, at this week  General Seminar.

Dr. Ebru Solak give a talk

Title: Acd-Groups of type (1,2)

Abstract: A torsion free abelian group of finite rank is called almost
completely decomposable if it has a completely decomposable subgroup
of finite index. A p-local, p-reduced almost completely decomposable group of
type (1, 2) is briefly called a (1, 2)-group. Almost completely  
decomposable groups can be represented by matrices over the ring Zh  
=Z/hZ, where h is the exponent of the regulator quotient. This  
particular choice of representation allows for a better investigation  
of the decomposability of the group. Arnold and Dugas showed in  
several of their works that (1, 2)- groups with regulator quotient of  
exponent at least p7 allow infinitely many isomorphism types of
indecomposable groups. It is not known if the exponent 7 is minimal.
In this talk, this problem is addressed.


   Date:  17.12.2009
   Time:  15:40 - 16:30
   Place: Gunduz Ikeda Seminar Room



On behalf of recearch committee,
Kostyantyn Zheltukhin






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