Finite Subgroups in Integral Group Rings

Author:

Dokuchaev Michael A.,Juriaans Stanley O.

Abstract

AbstractA 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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 23 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Units of group rings and a conjecture of H. J. Zassenhaus;São Paulo Journal of Mathematical Sciences;2022-03-04

2. On the Determination of Sylow Numbers;Indian Journal of Pure and Applied Mathematics;2021-09

3. Finite Subgroups of Group Rings: A Survey;ADV GROUP THEOR APPL;2019

4. A counterexample to the first Zassenhaus conjecture;Advances in Mathematics;2018-12

5. On the First Zassenhaus Conjecture and Direct Products;Canadian Journal of Mathematics;2018-10-15

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