Zassenhaus Conjecture (ZC1) on torsion units of integral group rings for some metabelian groups

Autor:	Sudarshan K. Sehgal, Ángel del Río
Rok vydání:	2006
Předmět:	p-group Discrete mathematics Mathematics::Group Theory Pure mathematics Finite group Metabelian group Dicyclic group General Mathematics Simple group Cyclic group Mathematics Z-group Group ring
Zdroj:	Archiv der Mathematik. 86:392-397
ISSN:	1420-8938 0003-889X
DOI:	10.1007/s00013-005-1554-0
Popis:	We prove a conjecture of Zassenhaus that every normalized torsion unit of the integral group ring ZG of a finite group G is rationally conjugate to a group element for some metabelian groups including metacyclic groups G containing a normal cyclic group A such that G/A is cyclic of prime power order. The relative prime case was done in [11].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ea1b53dd3e1ccc6cd9e047d84f1b1903 https://doi.org/10.1007/s00013-005-1554-0 Zobrazit plný text záznamu Full text from SpringerLink