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Finite Subgroups in Integral Group Rings

Published online by Cambridge University Press:  20 November 2018

Michael A. Dokuchaev  and
Stanley O. Juriaans
Michael A. Dokuchaev
Affiliation:
Instituto de Matemática e Estatίstica, Universidade de São Paulo, Caixa Postal 66.281, 05389-970 São Paulo, Brazil e-mail: [email protected]
Stanley O. Juriaans
Affiliation:
Instituto de Matemática e Estatίstica, Universidade de São Paulo, Caixa Postal 66.281, 05389-970 São Paulo, Brazil e-mail: [email protected]
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Abstract

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A p-subgroup version of the conjecture of Zassenhaus is proved for some finite solvable groups including solvable groups in which any Sylow p-subgroup is either abelian or generalized quaternion, solvable Frobenius groups, nilpotent-by-nilpotent groups and solvable groups whose orders are not divisible by the fourth power of any prime.

Keywords

20C0516S3416U60group ringstorsion unitsunique trace property(p-ZC3)
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 6 , 01 December 1996 , pp. 1170 - 1179
Copyright
Copyright © Canadian Mathematical Society 1996

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