التفاصيل البيبلوغرافية
| العنوان: |
On n-multiply σ-local formations of finite groups. |
| المؤلفون: |
Chi, Zhang, Safonov, Vasily G., Skiba, Alexander N. |
| المصدر: |
Communications in Algebra; 2019, Vol. 47 Issue 3, p957-968, 12p |
| مصطلحات موضوعية: |
GROUP formation, GROUP identity, FINITE groups, INTEGERS |
| مستخلص: |
Throughout this paper, all groups are finite. Let be some partition of the set of all primes. If n is an integer, the symbol denotes the set ; and. We call any function f of the form a formation σ-function, and we put If for some formation σ-function f we have , then we say that the class is σ-local and f is a σ-local definition of. We suppose that every formation is 0-multiply σ-local; for n > 0, we say that the formation is n-multiply σ-local provided either is the class of all identity groups or where is multiply σ-local for all. In this paper, we describe some properties and examples of n-multiply σ-local formations. In particular, we prove that the Gaschütz product of any two n-multiply σ-local formations is also n-multiply σ-local. We also consider one application of such formations in the theory of finite factorizable groups. [ABSTRACT FROM AUTHOR] |
|
Copyright of Communications in Algebra is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
PDF full text from Publisher 
Full Text Finder