On the First Zassenhaus Conjecture and Direct Products

DOI10.4153/S0008414X18000044zbMath1441.16026arXiv1801.09422WikidataQ123301788 ScholiaQ123301788MaRDI QIDQ5110158

Wolfgang Kimmerle, Mariano Serrano, Andreas Bächle

Publication date: 15 May 2020

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09422

zbMATH Keywords

Frobenius groupdirect productZassenhaus conjectureintegral group ringtorsion unitHeLP method

Mathematics Subject Classification ID

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 (3)

Unnamed Item ⋮ On the determination of Sylow numbers ⋮ From examples to methods: Two cases from the study of units in integral group rings

Uses Software

• GAP
• Help

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classifying Camina groups: a theorem of Dark and Scoppola.
• 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
• On Camina groups of prime power order
• A counterexample to the first Zassenhaus conjecture
• Camina \(p\)-groups that are generalized Frobenius complements.
• Partial augmentations power property: a Zassenhaus conjecture related problem
• Zassenhaus Conjecture for cyclic-by-abelian groups
• Finite Subgroups in Integral Group Rings
• Zassenhaus conjecture for S₅
• TORSION UNITS IN INTEGRAL GROUP RINGS OF CERTAIN METABELIAN GROUPS
• The Orders of Torsion Units in Integral Group Rings of Finite Solvable Groups
• Torsion units in integral group rings.
• Corrigendum and Addendum to "Classification of Finite Groups with all Elements of Prime Order"
• Torsion units in integral group rings of solvable groups
• Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus
• Units of integral group rings of Frobenius groups
• Algorithmic Aspects of Units in Group Rings
• Rational Conjugacy of Torsion Units in Integral Group Rings of Non-Solvable Groups
• On the torsion units of the integral group ring of finite projective special linear groups
• The Status of the Zassenhaus Conjecture for Small Groups
• On the Torsion Units of Some Integral Group Rings
• On the Structure of Group Algebras, I
• 𝑝-subgroups of units in ℤ𝔾
• Zassenhaus conjecture for central extensions of S 5
• Endliche Gruppen I

This page was built for publication: On the First Zassenhaus Conjecture and Direct Products