RUS
ENG
Full version
JOURNALS
// Trudy Instituta Matematiki i Mekhaniki UrO RAN
// Archive
Trudy Inst. Mat. i Mekh. UrO RAN,
2012
Volume 18,
Number 3,
Pages
242–246
(Mi timm858)
This article is cited in
2
papers
On Fitting subgroups of a finite solvable group
A. A. Trofimuk
A. S. Pushkin Brest State University
Abstract:
The dependence of the rank and derived length of a finite solvable group on the maximum of the indices of Fitting subgroups in their normal closures is established. Examples showing the accuracy of the obtained estimates are constructed.
Keywords:
solvable group, Fitting subgroup,
$A_4$
-free group, derived length, nilpotent length,
$p$
-length.
UDC:
512.542
Received:
28.01.2012
Fulltext:
PDF file (137 kB)
References
Cited by
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025