The Status of the Zassenhaus Conjecture for Small Groups

DOI10.1080/10586458.2017.1306814zbMath1403.16034arXiv1609.00042OpenAlexW3104251551WikidataQ122959052 ScholiaQ122959052MaRDI QIDQ4646703

Leo Margolis, Andreas Bächle, Allen Herman, Gurmail Singh, Olexandr Konovalov

Publication date: 14 January 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00042

zbMATH Keywords

groups of unitsZassenhaus conjectureintegral group ring

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Algorithmic Aspects of Units in Group Rings ⋮ On the First Zassenhaus Conjecture and Direct Products ⋮ Unnamed Item ⋮ From examples to methods: Two cases from the study of units in integral group rings ⋮ Automorphism groups of simply reducible groups

Uses Software

• GAP
• Normaliz
• 4ti2
• Help

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The power of pyramid decomposition in Normaliz
• Torsion units in integral group rings of some metabelian groups. II
• Zassenhaus conjecture for \(A_5\)
• HeLP: a GAP package for torsion units in integral group rings
• Revisiting the Zassenhaus conjecture on torsion units for the integral group rings of small groups.
• Zassenhaus Conjecture for cyclic-by-abelian groups
• Finite Subgroups in Integral Group Rings
• The Orders of Torsion Units in Integral Group Rings of Finite Solvable Groups
• Torsion units in integral group rings.
• Rational Conjugacy of Torsion Units in Integral Group Rings of Non-Solvable Groups
• On the Torsion Units of Some Integral Group Rings
• Zassenhaus conjecture for central extensions of S 5

This page was built for publication: The Status of the Zassenhaus Conjecture for Small Groups