کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4673209 | 1346617 | 2008 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Problems related to the Lockett Conjecture on Fitting classes of finite groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Problems related to the Lockett Conjecture on Fitting classes of finite groups Problems related to the Lockett Conjecture on Fitting classes of finite groups](/preview/png/4673209.png)
چکیده انگلیسی
The existence of a solvable non-normal Fitting class F which is not a Lockett class but for which the Lockett Conjecture still holds are studied. We also prove that there exists an ω-local Fitting class F which does not satisfy the Lockett conjecture but the Lockett conjecture still holds under a given condition. As a consequence of our result, a generalized version of the Lausch's problem in the well-known Kourovka Notebook is answered.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Indagationes Mathematicae - Volume 19, Issue 3, September 2008, Pages 391-399
Journal: Indagationes Mathematicae - Volume 19, Issue 3, September 2008, Pages 391-399