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<div style="font-size: 13.3333330154419px;"><span style="font-size: 10pt; line-height: 15.3333320617676px; font-family: 'Segoe UI', sans-serif;">Sayin Liste Uyeleri,</span><br>
<br>
GTU Matematik Bölümü Genel Seminerleri kapsamında,<br>
03 Nisan Cuma günü saat 14:00'da <span style="font-size: 13.3199996948242px;">Ayşe BERKMAN</span><br>
(Mimar Sinan Universitesi) bir seminer verecektir. Seminerin<br>
detayları aşağıda olup tüm ilgilenenler davetlidir.<br>
<br>
Saygılarımızla,</div>
<div style="font-size: 13.3333330154419px;"><br>
</div>
<div>
<div><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;">Title: </span></font></span></font></span></font><font size="2">Sharply
2-Transitive Group Actions</font>
<p class="MsoNormal" style="font-size: 13.3333330154419px;"><span lang="EN-GB"></span></p>
<font face="Arial" style="font-size: 13.3333330154419px;"><br>
<font color="#222222"><span style="font-size: 12.78px; background-color: white;">Abstract:</span><span style="background-color: white;"><font size="2"> </font></span></font></font><span style="font-size: 13px;"> </span></div>
<div style="margin-top: 14pt; margin-bottom: 14pt;"><font size="2">A typical example of a sharply 2-transitive action is the action of the group of affine transformations of a field. In fact, for this example, we do not need all the field axioms, working over
a “near field” is sufficient. This is the so-called standard sharply 2-transitive group. In 1936, Zassenhaus proved that all finite sharply 2-transitive groups are standard. In 1952, Tits extended this result to locally compact connected groups. Later, more
results from different authors came verifying that under certain assumptions a sharply 2-transitive group is standard. However, the general problem of whether any sharply 2-transitive group is standard or not, remained open until 2014, when Rips, Segev and
Tent, constructed the first non-standard example of a sharply 2-transitive group, and answered the almost a century-old problem negatively. Quickly after that, again in 2014, Tent and Ziegler constructed a much easier example. However, all these examples are
of permutation characteristic 2 and none of them is of finite Morley rank. Therefore, there are still many open questions related to the subject.</font></div>
<div style="font-family: 'Segoe UI', Helvetica, Arial, sans-serif; font-size: medium; margin-top: 14pt; margin-bottom: 14pt;">
<br>
</div>
<div style="margin-top: 14pt; margin-bottom: 14pt;"><font size="2">In my talk, I am planning to review the history and fundamental results in the area, then talk about the Tent-Ziegler example, and finally mention some old and new results in the finite Morley
rank context.</font></div>
<p class="MsoNormal" style="font-size: 13px;"><span lang="EN-GB"> </span></p>
<div style="font-size: 13.3333330154419px;"><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;"><br>
</span></font></span></font></span></font></div>
<div style="font-size: 13.3333330154419px;"><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;"><br>
</span></font></span></font></span></font></div>
<div style="font-size: 13.3333330154419px;"><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;"><br>
</span></font></span></font></span></font></div>
<div style="font-size: 13.3333330154419px;"><span style="font-size: 10pt; line-height: 15.3333320617676px; font-family: 'Segoe UI', sans-serif;">Dear all,</span><br>
<br>
There will be a seminar in Gebze Technical University (GTU) on 3th of<br>
April by <span style="font-size: 13.3199996948242px;">Ayşe BERKMAN</span> (Mimar Sinan Uni) <br>
Time and place: March 27th, at 14:00 in Department of Mathematics,<br>
Building I, Seminar room.</div>
</div>
<div style="font-size: 13.3333330154419px;"><br>
</div>
<div style="font-size: 13.3333330154419px;">
<div style="font-size: 13.3333330154419px;">
<div style="font-size: 13.3333330154419px;">
<div style="font-size: 13.3333330154419px;"><font style="font-size: 13.3333330154419px; font-family: Arial;"><span style="font-size: 13px;"><font face="Arial" size="1"><span style="font-size: 13.32px;"><font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;">Title: </span></font></span></font></span></font><font size="2">Sharply
2-Transitive Group Actions</font>
<p class="MsoNormal" style="font-size: 13.3333330154419px;"><span lang="EN-GB"></span></p>
<font face="Arial" style="font-size: 13.3333330154419px;"><br>
<font color="#222222"><span style="font-size: 12.78px; background-color: white;">Abstract:</span><span style="background-color: white;"><font size="2"> </font></span></font></font><span style="font-size: 13px;"> </span></div>
<div style="font-size: 13.3333330154419px; margin-top: 14pt; margin-bottom: 14pt;">
<font size="2">A typical example of a sharply 2-transitive action is the action of the group of affine transformations of a field. In fact, for this example, we do not need all the field axioms, working over a “near field” is sufficient. This is the so-called
standard sharply 2-transitive group. In 1936, Zassenhaus proved that all finite sharply 2-transitive groups are standard. In 1952, Tits extended this result to locally compact connected groups. Later, more results from different authors came verifying that
under certain assumptions a sharply 2-transitive group is standard. However, the general problem of whether any sharply 2-transitive group is standard or not, remained open until 2014, when Rips, Segev and Tent, constructed the first non-standard example of
a sharply 2-transitive group, and answered the almost a century-old problem negatively. Quickly after that, again in 2014, Tent and Ziegler constructed a much easier example. However, all these examples are of permutation characteristic 2 and none of them
is of finite Morley rank. Therefore, there are still many open questions related to the subject.</font></div>
<div style="font-family: 'Segoe UI', Helvetica, Arial, sans-serif; font-size: medium; margin-top: 14pt; margin-bottom: 14pt;">
<br>
</div>
<div style="font-size: 13.3333330154419px; margin-top: 14pt; margin-bottom: 14pt;">
<font size="2">In my talk, I am planning to review the history and fundamental results in the area, then talk about the Tent-Ziegler example, and finally mention some old and new results in the finite Morley rank context.</font></div>
</div>
</div>
</div>
<div>
<div style="font-family:Tahoma; font-size:13px">
<div>
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