Nilpotent maximal subgroups of GLn(D)

Autor:	R. Ebrahimian
Rok vydání:	2004
Předmět:	Discrete mathematics Conjecture Division rings Algebra and Number Theory Central series Noncommutative geometry Combinatorics Maximal subgroup Nilpotent Mathematics::Group Theory Nilpotent groups Maximal subgroups Division ring Nilpotent group Abelian group Mathematics
Zdroj:	Journal of Algebra. 280(1):244-248
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2004.02.018
Popis:	In [S. Akbari, J. Algebra 217 (1999) 422–433] it has been conjectured that if D is a noncommutative division ring, then D ∗ contains no nilpotent maximal subgroup. In connection with this conjecture we show that if GLn(D) contains a nilpotent maximal subgroup, say M, then M is abelian, provided D is infinite. This extends one of the main results appeared in [S. Akbari, J. Algebra 259 (2003) 201–225, Theorem 4].
Databáze:	OpenAIRE
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