Finite Subgroups in Integral Group Rings
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Publication:3128434
DOI10.4153/CJM-1996-061-7zbMath0870.16020MaRDI QIDQ3128434
Stanley Orlando Juriaans, Mikhailo Dokuchaev
Publication date: 13 July 1997
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
groups of unitsnilpotent normal subgroupsconjugacy of torsion subgroupssolvable Frobenius groupsunits of integral group rings of finite groups
Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)
Related Items (18)
Unnamed Item ⋮ Traces of Torsion Units ⋮ On the Torsion Units of Some Integral Group Rings ⋮ Sylow like theorems for $V(mathbb{Z}G)$ ⋮ Algorithmic Aspects of Units in Group Rings ⋮ A Sylow theorem for the integral group ring of \(\mathrm{PSL}(2,q)\) ⋮ 𝑝-subgroups of units in ℤ𝔾 ⋮ On the First Zassenhaus Conjecture and Direct Products ⋮ On torsion subgroups in integral group rings of finite groups. ⋮ Unit Groups of Integral Finite Group Rings with No Noncyclic Abelian Finitep-Subgroups ⋮ The Status of the Zassenhaus Conjecture for Small Groups ⋮ A counterexample to the first Zassenhaus conjecture ⋮ Subgroup isomorphism problem for units of integral group rings ⋮ Zassenhaus conjecture for central extensions of S 5 ⋮ On the determination of Sylow numbers ⋮ Units of group rings and a conjecture of H. J. Zassenhaus ⋮ On the Structure of Integral Group Rings of Sporadic Groups ⋮ Torsion subgroups in the units of the integral group ring of \(\mathrm{PSL}(2,p^3)\).
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