<div dir="ltr"><font size="4">Değerli liste üyeleri</font><br><font style="font-family:arial,sans-serif" size="4"><span class="gmail-m_4775597275325738982gmail-m_-2498521320782331370gmail-m_7645671683013050083gmail-il"><br>MSGSÜ</span> Matematik Bölümü Genel Seminerleri'nde bu haftaki konuşmacımız Doğuş Üniversitesi Matematik Bölümü'nden İsmail Güloğlu.</font><font style="font-family:arial,sans-serif" size="4"><br>Konuşma özeti aşağıdadır.</font><br><font style="font-family:arial,sans-serif" size="4">Seminerde görüşmek üzere,</font><font style="font-family:arial,sans-serif" size="4"><br><br>Kıvanç Ersoy</font><br><div style="text-align:center"><br> <font size="4"><font size="6"><br><b><span class="gmail-m_4775597275325738982gmail-m_-2498521320782331370gmail-m_7645671683013050083gmail-il">MSGSÜ</span> Mathematics <span class="gmail-m_4775597275325738982gmail-m_-2498521320782331370gmail-m_7645671683013050083gmail-il">Seminar</span></b></font><br><br></font></div><font size="4"><br></font><div style="text-align:center"><font size="6">İsmail GÜLOĞLU</font><br></div><br><p style="text-align:center"><font size="6"><b><span>On the action of groups with TI-centralizers</span></b></font></p>
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</span></p>
<p><span style="font-size:12pt"> </span><span style="font-size:12pt">A subgroup H of a group G is called a TI-subgroup if H i</span><span style="font-size:12pt">ntersects triv</span><span style="font-size:12pt">i</span><span style="font-size:12pt">ally
with any conjugate of H </span><span style="font-size:12pt"> different from H </span><span style="font-size:12pt">and H is called an STI </span><span style="font-size:12pt">subgroup of G if for any normal subgroup N of G the subgroup HN</span><span style="font-size:12pt">/</span><span style="font-size:12pt">N
is TI in G/N</span><span style="font-size:12pt">. </span><span style="font-size:12pt">In this
</span><span style="font-size:12pt">talk</span><span style="font-size:12pt"> the following result
</span><span style="font-size:12pt">will be</span><span style="font-size:12pt"> proven: <br></span></p><p><span style="font-size:12pt"> If A is of prime order and acts coprimely on a
</span><span style="font-size:12pt">fi</span><span style="font-size:12pt">nite group G in such a way that
</span><span style="font-size:12pt">the subroup F</span><span style="font-size:12pt"> of fixedpoints </span><span style="font-size:12pt"> of A</span><span style="font-size:12pt"> is a STI-subgroup of G then
</span><span style="font-size:12pt">F</span><span style="font-size:12pt"> is solvable if and only if G is solvable. </span><br>
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</span></p><p style="text-align:left"><font size="4">Yer: MSGSÜ Matematik Bölümü, Bomonti</font></p><font size="4">Tarih/Saat: 24 Kasım 2016 Saat 16:00</font></div>