| Autor: |
Monakhov, V., Kniahina, V. |
| Zdroj: |
Lobachevskii Journal of Mathematics; Oct2015, Vol. 36 Issue 4, p441-445, 5p |
| Abstrakt: |
A subgroup A of a group G is called $$\mathbb{P}$$-subnormal in G whenever either A = G or there exists a chain of subgroups A = A ⊂ A ⊂ ... ⊂ A = G such that | A : A| is a prime number for all i. We study a finite group G = AB on assuming that A and B are $$\mathbb{P}$$-subnormal subgroups with fixed properties. In particular, we show that G is r-solvable if A and B are r-solvable. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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