Results 11 to 20 of about 665,695 (311)
Normality in group rings [PDF]
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(sigma)=x(sigma)x for all x=∑(g∈G)alfa(g)g∈KG, where x↦x(sigma)=∑(g∈G)alfa(g)f(g)sigma(g) is an involution of KG; here f:G→U(K) is a ...
Bódi, Viktor, Siciliano, S.
core +5 more sources
In this thesis we study the group ring of an arbitrary group over an associative ring with unit element. Classically the group ring studied was that of a finite group over a field, and with the introduction of group characters a number of theorems on ...
Connell, Ian. G., Ian G. Connell
core +2 more sources
In many applications of group signatures, not only a signer\u27s identity but also which group the signer belongs to is sensitive information regarding signer privacy.
Liqun Chen
core +4 more sources
Group extensions and automorphism group rings [PDF]
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
More on the Schur group of a commutative ring
The Schur group of a commutative ring, R, with identity consists of all classes in the Brauer group of R which contain a homomorphic image of a group ring RG for some finite group G.
R. A. Mollin
doaj +2 more sources
Smarandache Idempotents infinite ring Zn and in Group Ring ZnG [PDF]
This paper has 4 sections. In section 1, we just give the basic definition of S-idempotents in rings. In section 2, we prove the existence of S-idempotents in the ring Zn where n = 2mp;m 2 N and p is an odd ...
Vasantha, W.B, Chetry, Moon K.
core +1 more source
ON-SITE SEMANTIC MAPPING OF ARCHAEOLOGICAL EXCAVATION AREAS [PDF]
3D laser scanning is the state of the art in modeling archaeological excavation sites, historical sites and even entire cities or landscapes. The documentation of findings on an excavation site is an essential archaeological task.
H. Houshiar +5 more
doaj +1 more source
Zassenhaus conjecture for central extensions of S5 [PDF]
We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Bódi, Viktor +4 more
core +1 more source
Hopfian additive groups of rings [PDF]
A group is called Hopfian if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
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Grothendieck Groups of Invariant Rings and of Group Rings
Let \(G\) be a finite group acting as automorphisms of a (right) Noetherian ring \(S\), and \(R = S^ G\) be the fixed ring under this action. There is a Morita context linking the skew group ring \(T = S * G\) with \(R\), via the bimodules \(tT\) and \(Tt\) where \(t = \sum_{g \in G} g\). Suppose that the trace map \(\text{tr} : S \to R\) is surjective.
Brown, K.A., Lorenz, M.
openaire +2 more sources

