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“Wells' sequence for
group extensions”

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SEMRA KAPTANOÐLU

(METU)

Abstract: For an extension $G$ of a
group $Q$ by another group $N$ together with a coupling $\chi$, a homomorphism
from $Q$ to the group of automorphisms of $N$, there
is an exact sequence due to Charles Wells, involving derivations from $Q$
to the center of $N$, automorphisms
of $G$ which restrict to automorphisms of $N$,
compatible automorphism pairs coming from the automorphisms of $N$ and $Q$, and $H2(Q, Z(N)$.
Construction of the Wells' sequence and some applications of the sequence will be given.

Date : November 9, 2009 (Monday)

Time : 14:40-15:30

Place: Seminar Room SA-141