<div dir="ltr"> Merhabalar,<div><br><div>31.05.2023 tarihinde saat 14.00 te Dr. Öğretim Üyesi Muhammet Yasir Kızmaz (Bilkent Üniversitesi) başlık ve özeti aşağıda verilen bir konuşma yapacaktır. Seminer Zoom programı üzerinden online yapılacaktır. Katılmak isteyenlerin katılım bilgilerini alabilmeleri için "<a href="mailto:huseyinuysal@istanbul.edu.tr" target="_blank">huseyinuysal@istanbul.edu.tr</a> " adresine mail atmaları gerekmektedir.<span style="font-family:tahoma,sans-serif"> </span></div><div><span style="font-family:tahoma,sans-serif"><br></span></div><div><br></div><div dir="auto"><div dir="auto">************************</div><div dir="auto"><br></div><div dir="auto"><div style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:12pt;color:rgb(0,0,0)"><font face="verdana, sans-serif" style="color:rgb(34,34,34);font-size:small"><b>Title:</b> </font><span style="font-family:Arial,Helvetica,sans-serif;font-size:small;color:rgb(34,34,34)">On Thompson's Critical Subgroup</span></div><div style="font-family:Calibri,Arial,Helvetica,sans-serif;font-size:12pt;color:rgb(0,0,0)"><font face="verdana, sans-serif" style="color:rgb(34,34,34);font-size:small"><b>Abstract: </b></font><span style="font-family:Arial,Helvetica,sans-serif;font-size:small;color:rgb(34,34,34)">Let p be a prime and P be a finite p-group. We define a new characteristic subgroup K(P) of P and show that K(P) is a critical subgroup of P, which improves Thompson's proof for their existence. Secondly, we define several new characteristic subgroups K*(P) and K_i(P) for each positive integer i and show that they enjoy some interesting and new properties similar to those of critical subgroups. Lastly, for a solvable group G, we define a new characteristic subgroup Y(G), which satisfies the analogue of Thompson's result for solvable groups.</span></div></div><div dir="auto">************************<br></div><div dir="auto"><br></div><div>İyi günler dilerim.</div><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><div>Temha</div></font></font></font></font></font></div></div></div>
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