Results 11 to 20 of about 26,644,987 (330)
Normality in group rings [PDF]
St. Petersburg Mathematical Journal, 2008 Let $KG$ be the group ring of a group $G$ over a commutative ring $K$ with unity. The rings $KG$ are described for which $xx^σ=x^σx$ for all $x=\sum_{g\in G}α_gg\in KG$, where \quad $x\mapsto x^σ=~\sum_{g\in G}α_gf(g)σ(g)$\quad is an involution of $KG$; here $f: G\to U(K)$ is a homomorphism and $σ$ is an anti-automorphism of order two of $G$.
BOVDI V, SICILIANO, Salvatore
core +7 more sources
Torsion Units in Integral Group Ring of the Mathieu Simple GroupM22 [PDF]
LMS J. Comput. Math., 2007 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 .
V. Bovdi, A. Konovalov, S. Linton
semanticscholar +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.
V. Bovdi, A. Konovalov
semanticscholar +3 more sources
On the torsion units of the integral group ring of finite projective special linear groups [PDF]
, 2015 H. J. Zassenhaus conjectured that any unit of finite-order and augmentation one in the integral group ring of a finite group G is conjugate in the rational group algebra to an element of G.
Á. del Río, Mariano Serrano
semanticscholar +1 more source
arXiv.org, 2011 Cryptographic systems are derived using units in group rings. Combinations of types of units in group rings give units not of any particular type. This includes cases of taking powers of units and products of such powers and adds the complexity of the ...
B. Hurley, T. Hurley
semanticscholar +1 more source
Public Key Protocols over Skew Dihedral Group Rings
Mathematics, 2022 This paper introduces skew dihedral group rings and their applications for public-key cryptography. We present a specific skew group ring that is the underlying algebraic platform for our cryptographic constructions.
Javier de la Cruz +2 more
doaj +1 more source
A Sylow theorem for the integral group ring of PSL(2,q) [PDF]
, 2014 For G = PSL(2,p^f) denote by ZG the integral group ring, by V(ZG) the group of normalized units of ZG and let r be a prime different from p. Using the so called HeLP-method we prove, that units of r-power order in V(ZG) are rationally conjugate to ...
Leo Margolis
semanticscholar +1 more source
Group ring elements with large spectral density [PDF]
, 2014 Given $${\delta }>0$$δ>0 we construct a group $$G$$G and a group ring element $$S\in \mathbb Z[G]$$S∈Z[G] such that the spectral measure $$\mu $$μ of $$S$$S fulfils $$\mu ((0,{\varepsilon })) > \frac{C}{|\log ({\varepsilon })|^{1+{\delta }}}$$μ((0,ε))>C ...
Ł. Grabowski
semanticscholar +1 more source
Group extensions and automorphism group rings [PDF]
Homology, Homotopy and Applications, 2003 The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.
Martino, John, Priddy, Stewart
openaire +4 more sources
On Idempotent Units in Commutative Group Rings
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Special elements as units, which are defined utilizing idempotent elements, have a very crucial place in a commutative group ring. As a remark, we note that an element is said to be idempotent if r^2=r in a ring. For a group ring RG, idempotent units are
Ömer Küsmüş
doaj +1 more source