Viktor Monakhov, Alexander Trofimuk, “Invariants of finite solvable groups”, Algebra Discrete Math., 2012, том 14, выпуск 1,страницы 107

Эта публикация цитируется в 2 статьях

SURVEY ARTICLE

Invariants of finite solvable groups

Viktor Monakhov^a, Alexander Trofimuk^b

^a Department of Mathematics, Gomel Francisk Skorina State University, Gomel 246019, Belarus
^b Department of Mathematics, A. S. Pushkin Brest State University, Brest 224016, Belarus

Аннотация: The article contains the results about invariants of solvable groups with given structure of Sylow subgroups and information about the nilpotent $\pi$-length of $\pi$-solvable groups. Open questions are formulated.

Ключевые слова: derived length, nilpotent lengths, $p$-length, $\pi$-length, nilpotent $\pi$-length, rank, $p$-rank, metacyclic group, bicyclic group, $\pi$-solvable group.

MSC: 20D10

Поступила в редакцию: 10.05.2012
Исправленный вариант: 21.05.2012

Язык публикации: английский