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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>
6 Mart Cuma günü saat 15:00'da Ismail GULOGLU<br>
(Dogus Universitesi) bir seminer verecektir. Seminerin<br>
detayları aşağıda olup tüm ilgilenenler davetlidir.<br>
<br>
Saygılarımızla,</div>
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<div><font face="Tahoma" size="1" 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 face="Arial" size="2">"Frobenius-like
groups as groups of automorphisms"</font><font><font face="Arial"><br>
<br>
<font color="#222222"><span style="font-family: Arial; font-size: 12.78px; background-color: white;">Abstract:</span><span style="background-color: white;"><font size="2"> </font></span></font></font></font><font size="2" face="Arial">There have been a lot
of research about the structure of finite solvable groups G admitting a Frobenius group FH of automorphisms such that the Frobenius-kernel F acts fixed-point-freely on G, finding relations between some group-theoretic invariants of G and the corresponding
invariants of the fixed-point-subgroup of H in G, like nilpotent length, rank, order, derived length.</font></div>
<div style="margin: 0px;"><font><font size="2" face="Arial">In this talk some generalizations of these results will be discussed and some recent results of Ercan,Güloğlu and Khukhro, obtained by replacing Frobenius groups by the so-called "Frobenius-like groups"
will be presented. These are groups containing a nontrivial, nilpotent normal subgroup F with a nontrivial complement H so that [F,h]=F for any nonidentity element h of H.</font></font></div>
<div><font face="Tahoma" size="1" 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>
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</span></font></span></font></span></font></div>
<div><font face="Tahoma" size="1" 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>
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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;">Dear all,</span><br>
<br>
There will be a seminar in Gebze Technical University (GTU) on 6th of<br>
March by Ismail GULOGLU (Dogus Uni) on "<span style="font-size: 9.5pt; line-height: 14.5666675567627px; font-family: Arial, sans-serif; color: rgb(34, 34, 34); background: white;"> </span><span style="font-family: Arial; font-size: small;">Frobenius-like groups
as groups of automorphisms``</span><br>
<br>
Time and place: March 6th, at 15:00 in Department of Mathematics,<br>
Building I, Seminar room.</div>
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<div style="font-size: 13.3333330154419px;"><br style="font-family: Arial; font-size: 13.3199996948242px;">
<font face="Arial,sans-serif" size="1" color="#222222"><span style="font-size: 12.78px; background-color: white;">Abstract: </span></font><span style="font-family: Arial; font-size: small;">There have been a lot of research about the structure of finite solvable
groups G admitting a Frobenius group FH of automorphisms such that the Frobenius-kernel F acts fixed-point-freely on G, finding relations between some group-theoretic invariants of G and the corresponding invariants of the fixed-point-subgroup of H in G, like
nilpotent length, rank, order, derived length.</span></div>
<div style="font-size: 13.3333330154419px; margin: 0px;"><font size="2" face="Arial">In this talk some generalizations of these results will be discussed and some recent results of Ercan,Güloğlu and Khukhro, obtained by replacing Frobenius groups by the so-called
"Frobenius-like groups" will be presented. These are groups containing a nontrivial, nilpotent normal subgroup F with a nontrivial complement H so that [F,h]=F for any nonidentity element h of H.</font></div>
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