[Turkmath:6811] Mimar Sinan Matematik Bölümü Genel Seminerleri - 26 Subat 2010

[KIVANÇ ERSOY]

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 *Mimar Sinan Güzel Sanatlar Üniversitesi Matematik Bölümü Genel Seminerleri
*
Konusmaci: Prof. Dr. Vladimir Tolstykh
Yeditepe Universitesi


 *On the automorphism groups of groups F/R'*

The sketch of the proof of the following result will be discussed.
Let F be an infinitely generated free group and R a fully invariant
subgroup of F such that
(a) R is contained in the commutator
subgroup F' of F and
(b) the quotient group F/R is residually torsion-free nilpotent.

Then the automorphism
group Aut(F/R') of the group F/R' is complete.

This extends a result by Dyer and
Formanek (1977) on finitely generated
groups F_n/R' where F_n is a free
group of rank at least two and
R a characteristic subgroup of F_n.


 Yer     : 408 No'lu Amfi
 MSGSÜ Fen Edebiyat Fakültesi(Beşiktaş)

 Zaman  :  26 Şubat 2010 Cuma, 16:30
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