Structure of the automorphism group for partially commutative class two nilpotent groups

Autor:	Vladimir N. Remeslennikov, Alexander V. Treier
Rok vydání:	2010
Předmět:	p-group Discrete mathematics Combinatorics Inner automorphism Logic Alternating group Outer automorphism group Cyclic group Unipotent Nilpotent group Central series Analysis Mathematics
Zdroj:	Algebra and Logic. 49:43-67
ISSN:	1573-8302 0002-5232
Popis:	Let R be a ring, which is either a ring of integers or a field of zero characteristic. For every finite graph Γ, we construct an R-arithmetic linear group H(Γ). The group H(Γ) is realized as the factor automorphism group of a partially commutative class two nilpotent R-group G Γ. Also we describe the structure of the entire automorphism group of a partially commutative nilpotent R-group of class two.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f624e8957444de2c90e5585552a12874 https://doi.org/10.1007/s10469-010-9078-5 Zobrazit plný text záznamu Plný text ve formátu PDF