Subnormal subgroups in 𝑈(𝑍𝐺)

Gonçalves, Jairo; Ritter, Jürgen; Sehgal, Sudarshan

doi:10.1090/S0002-9939-1988-0943049-7

Subnormal subgroups in $U(\textbf {Z}G)$
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by Jairo Gonçalves, Jürgen Ritter and Sudarshan Sehgal PDF

Proc. Amer. Math. Soc. 103 (1988), 375-382 Request permission

Abstract:

Let $U$ be the unit group of the integral group ring of a finite group $G$. We prove that every subgroup of $U$ containing $G$ and almost subnormal in $U$ contains a noncyclic free group unless $G$ is abelian or a Hamiltonian $2$-group.

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