[Turkmath:6135] İ.Ü. Matematik Bölüm Semineri
TEMHA ERKOÇ
erkoct at istanbul.edu.tr
Mon May 29 19:29:02 UTC 2023
Merhabalar,
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 "
huseyinuysal at istanbul.edu.tr " adresine mail atmaları gerekmektedir.
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*Title:* On Thompson's Critical Subgroup
*Abstract: *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.
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İyi günler dilerim.
Temha
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