Results 1 to 10 of about 720,928 (212)

Torsion Units in Integral Group Ring of the Mathieu Simple GroupM₂₂ [PDF]

LMS J. Comput. Math., 2008
We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M 22 .
Victor Bovdi, Alexander Konovalov, Stephen Linton   +2 more
openalex   +3 more sources

Integral group ring of the first Mathieu simple group [PDF]

, 2007
We investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the simple Mathieu group M11.
Bódi, Viktor, Konovalov, A. B.
core   +3 more sources

Free products in the unit group of the integral group ring of a finite group [PDF]

, 2016
Let $G$ be a finite group and let $p$ be a prime. We continue the search for generic constructions of free products and free monoids in the unit group $\mathcal{U}(\mathbb{Z}G)$ of the integral group ring $\mathbb{Z}G$.
Janssens, Geoffrey, Jespers, Eric, Temmerman, Doryan   +2 more
core   +3 more sources

Unit group of integral group ring ℤ(G × C3) [PDF]

Miskolc Mathematical Notes
Presenting an explicit descryption of unit group in the integral group ring of a given non-abelian group is a classical and open problem. Let S3C3ℤ(S3×C3)(F55⋊F3)⋊(S3∗×C2)Fρρℤ(S3×C3)S3RS3R=ℤ[ω]ωℤ(G×C3)GV(G)GU(ℤ(G×C3))
Ömer Küsmüş
doaj   +2 more sources

Central units of integral group rings of monomial groups [PDF]

, 2022
In this paper, it is proved that the group generated by Bass units contains a subgroup of finite index in the group of central units Z(U(ZG)) of the integral group ring ZG for a subgroup closed monomial group G with the property that every cyclic ...
Gurmeet K. Bakshi, Gurleen Kaur
openalex   +3 more sources

The prime graph conjecture for integral group rings of some alternatings groups [PDF]

International Journal of Group Theory, 2013
We investigate the classical Zassenhaus Conjecture (ZC) for integral group rings of alternating groups A9 and A10. Even the question (ZC) remains open as no counterexample is known up to date, it been confirmed for special types of groups such as ...
Mohamed Salim
doaj   +1 more source

On the index of a free abelian subgroup in the group of central units of an integral group ring [PDF]

, 2015
Gurmeet K. Bakshi, Sugandha Maheshwary
openalex   +3 more sources

Abelianization of the unit group of an integral group ring [PDF]

Pacific Journal of Mathematics, 2020
For a finite group $G$ and $U: = U(\mathbb{Z}G)$, the group of units of the integral group ring of $G$, we study the implications of the structure of $G$ on the abelianization $U/U'$ of $U$. We pose questions on the connections between the exponent of $G/
Andreas Bachle, Sugandha Maheshwary, L. Margolis   +2 more
semanticscholar   +1 more source

Categorification of integral group rings extended by one dimension [PDF]

Journal of the London Mathematical Society, 2022
The integral group rings ZG$\mathbb {Z}G$ for finite groups G$G$ are precisely those fusion rings whose basis elements have Frobenius–Perron dimension 1, and each is categorifiable in the sense that it arises as the Grothendieck ring of a fusion category.
Andrew Schopieray
semanticscholar   +1 more source

BASS CYCLIC UNITS AS FACTORS IN A FREE GROUP IN INTEGRAL GROUP RING UNITS

International journal of algebra and computation, 2011
Jairo Z. Gonçalves, Ángel del Rı́o
openalex   +2 more sources