<div dir="ltr"><div dir="ltr" class="gmail_attr"><font color="#000000">Merhabalar, </font></div><div dir="ltr"><div dir="auto"><font color="#000000"><br></font></div><div dir="auto"><font color="#000000">İstanbul Üniversitesi Matematik Bölümü genel seminerinde 25.12.2024 tarihinde saat 14.00 da gerçekleşecek olan konuşmanın detayları aşağıdaki gibidir. </font></div><span class="gmail-im"><font color="#000000"><div dir="auto"><br></div><div dir="auto">İlgilenen herkesi bekleriz.</div><div dir="auto"><br></div><div dir="auto">Rüya ÜSTER GÜNDÜZ- Temha ERKOÇ</div><div dir="auto"><br></div><div dir="auto"><br></div><div dir="auto"><br></div></font></span><div dir="auto"><font color="#000000">Konuşmacı: Asst Professor<font face="Nunito Sans, Helvetica, Calibri, Arial, sans-serif"><span style="background-color:rgb(246,246,246)"> Burcu ÇINARCI</span></font>, Texas State University</font></div><div dir="auto"><font color="#000000"><br></font></div><div dir="auto"><font color="#000000">Başlık: Group Actions and Orbit Sizes</font></div><div dir="auto"><font color="#000000"><br></font></div><div dir="auto"><font color="#000000">Özet: <span style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif">Let G be a finite group and let V be a finite and faithful G-module such that V is completely reducible, possibly of mixed characteristic. Suppose that M is the largest orbit size in the action of G on</span></font></div><div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif"><font color="#000000">V. It is known  that the index of the commutator</font></div><div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif"><font color="#000000">subgroup G' in G is bounded by M, that is, |G : G'|<span style="font-weight:bold;font-family:Arial,sans-serif">≤</span> M.</font></div><div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif"><font color="#000000">In this talk, we will provide the classification of all linear group actions in which |G:G'|=M. It turns out that our classification is a vast generalization of a classic 1967 result by D. Passman. </font></div><div dir="auto"><font color="#000000"><br></font></div><div dir="auto"><font color="#000000"><span style="font-family:"SF Pro","Segoe UI","system-ui","sans-serif"">Join Zoom Meeting</span><br style="font-family:"SF Pro","Segoe UI","system-ui","sans-serif""><a href="https://istanbul-edu-tr.zoom.us/j/98176959173" target="_blank" style="word-break:break-all;font-family:"SF Pro","Segoe UI","system-ui","sans-serif"">https://istanbul-edu-tr.zoom.us/j/98176959173</a><br style="font-family:"SF Pro","Segoe UI","system-ui","sans-serif""><br style="font-family:"SF Pro","Segoe UI","system-ui","sans-serif""><span style="font-family:"SF Pro","Segoe UI","system-ui","sans-serif"">Toplantı Kimliği: 981 7695 9173</span></font></div></div></div>

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