Units of group rings and a conjecture of H. J. Zassenhaus
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Publication:2082027
DOI10.1007/s40863-021-00267-8OpenAlexW4214828397WikidataQ113891392 ScholiaQ113891392MaRDI QIDQ2082027
Francisco César Polcino Milies
Publication date: 30 September 2022
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-021-00267-8
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Cites Work
- Group ring groups. Volume 1: Orders and generic constructions of units.
- Group ring groups. Volume 2: Structure theorems of unit groups.
- Finite Abelian groups with isomorphic group algebras
- Torsion units in integral group rings of metacyclic groups
- Isomorphisms of integral alternative loop rings
- Zassenhaus conjecture for \(A_6\).
- On a conjecture of Zassenhaus on torsion units in integral group rings
- Zassenhaus conjecture for \(A_5\)
- Integral group rings with residually nilpotent unit groups
- Isomorphic group (and loop) algebras
- An introduction to group rings
- An algorithm to construct candidates to counterexamples to the Zassenhaus conjecture
- Group rings of circle and unit groups
- Classifying indecomposable R.A. loops
- Solvability of groups of odd order
- The group algebras of groups of order \(p^ 4\) over a modular field
- Zassenhaus conjecture on torsion units holds for \(\mathrm{PSL}(2,p)\) with \(p\) a Fermat or Mersenne prime
- Isomorphic groups and group rings
- The origin of the theory of group characters
- Zassenhaus Conjecture for cyclic-by-abelian groups
- Constructing free subgroups of integral group ring units
- Finite Subgroups in Integral Group Rings
- The Group of Units of the Integral Group Ring ZS3
- Isomorphism of loops which have alternative loop rings
- On a Conjecture of Zassenhaus on Torsion Units in Integral Group Rings. II
- Group Rings Whose Torsion Units Form a Subgroup
- Free Subgroups in the Unit Groups of Integral Group Rings
- Torsion units in integral group rings.
- Construction of a counterexample to a conjecture of zassenhaus
- Torsion units in the integral group ring of S4
- Integral Group Rings with Nilpotent Unit Groups
- Automorphisms of the Integral Group Ring of S n
- Integral group rings with nilpotent unit groups
- The group of units of the integral group ring ℤD 4 *
- Shorter Notes: Group Rings whose Units Form a Nilpotent or FC Group
- Torsion Units in Integral Group Rings
- Unit Groups of Integral Group Rings
- Integral group rings of frobenius groups and the conjectures of H.J. Zassenhaus
- Free Subgroups in the Units of ℤ[K8 × Cp]
- Finite subloops of units in an alternative loop ring
- A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS
- On the Torsion Units of Some Integral Group Rings
- Finite Groups With Isomorphic Group Algebras
- On the Structure of Group Algebras, I
- On the Isomorphism of Integral Group Rings. I
- On the Isomorphism of Integral Group Rings. II
- The Units of Group-Rings
- Abelian Group Algebras of Finite Order
- Isomorphisms of p-adic group rings
- Group rings whose units form an FC-group
- A counterexample to the isomorphism problem for integral group rings
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