Results 241 to 250 of about 17,401,899 (301)
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International Journal of Theoretical Physics, 2004
The authors are interested study of finite effect algebras that arise as intervals in partially ordered abelian groups. They concentrate on semisimple unital groups, which are torsion free and have a finite unit interval. For such a group \(G\), the aditive group homomorphisms \(G \to\mathbb R\) form a directed partially ordered linear space over ...
Foulis, David J., Greechie, Richard J.
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The authors are interested study of finite effect algebras that arise as intervals in partially ordered abelian groups. They concentrate on semisimple unital groups, which are torsion free and have a finite unit interval. For such a group \(G\), the aditive group homomorphisms \(G \to\mathbb R\) form a directed partially ordered linear space over ...
Foulis, David J., Greechie, Richard J.
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Unit groups of group algebras of groups of order 20
, 2020Let F be a finite field of characteristic p. There are five non-isomorphic groups of order 20. The structure of U (FD 20) is given in [2, 6, 10] and that of U (FQ 20) is given in [3, 6], for p = 2, 5.
S. F. Ansari, M. Sahai
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Unit groups of finite group algebras of Abelian groups of order at most 16
, 2020In this paper, we establish the structure of the unit group of the group algebra [Formula: see text] where [Formula: see text] is an abelian group of order at most [Formula: see text] and [Formula: see text] is a finite field of characteristic [Formula ...
M. Sahai, S. F. Ansari
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Publicationes Mathematicae Debrecen, 2007
Let \(FS_m\) denote a group algebra of the symmetric group \(S_m\) of degree \(m\) over a finite field \(F\). In [Acta Math. Acad. Paedagog. Nyházi. (N.S.) 23, No. 2, 129-142 (2007; Zbl 1135.16034)] the authors characterized the unit group \(U(FS_3)\) of \(FS_3\).
Sharma, R. K. +2 more
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Let \(FS_m\) denote a group algebra of the symmetric group \(S_m\) of degree \(m\) over a finite field \(F\). In [Acta Math. Acad. Paedagog. Nyházi. (N.S.) 23, No. 2, 129-142 (2007; Zbl 1135.16034)] the authors characterized the unit group \(U(FS_3)\) of \(FS_3\).
Sharma, R. K. +2 more
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Star-group identities and groups of units
Archiv der Mathematik, 2010This paper is an extension of the authors' [J. Algebra 322, No. 8, 2801-2815 (2009; Zbl 1193.16027)]. Analogously to a star identity in rings with involution a star identity in groups is defined as an element of the free group of countable rank with involution evaluating identically to 1 for elements of a group \(G\) with involution. Suppose that \(G\)
GIAMBRUNO, Antonino +2 more
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Formation and Assertion of Data Unit Groups in 3GPP Networks with TSN and PDU Set Support
IEEE Wireless Communications and Networking ConferenceIndustrial applications and Extended Reality vertical sectors have expressed the need for dedicated Quality of Service considerations from 3GPP to support time-sensitive, bursty and high throughput communications.
Sebastian Robitzsch +3 more
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Unit group of semisimple group algebras of some non-metabelian groups of order 120
, 2021In this paper, we give the characterization of the unit groups of semisimple group algebras of some non-metabelian groups of order 120. This study completes the study of unit groups of semisimple group algebras of all groups up to order 120, except that ...
Gaurav Mittal, R. Sharma
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GROUP ALGEBRAS WITH ENGEL UNIT GROUPS
Journal of the Australian Mathematical Society, 2016Let $F$ be a field of characteristic $p\geq 0$ and $G$ any group. In this article, the Engel property of the group of units of the group algebra $FG$ is investigated. We show that if $G$ is locally finite, then ${\mathcal{U}}(FG)$ is an Engel group if and only if $G$ is locally nilpotent and $G^{\prime }$ is a $p$-group.
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1999
For a commutative ring R with identity and an arbitrary group G, let RG denote the group ring of G over R and U(RG) its group of units. It is of interest, see the survey by Dennis (1977), to determine the necessary and sufficient conditions on R and G in order that U(RG) has a specific group-theoretic property, e.g., solvability, nilpotence, etc ...
Ashwani K. Bhandari, I. B. S. Passi
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For a commutative ring R with identity and an arbitrary group G, let RG denote the group ring of G over R and U(RG) its group of units. It is of interest, see the survey by Dennis (1977), to determine the necessary and sufficient conditions on R and G in order that U(RG) has a specific group-theoretic property, e.g., solvability, nilpotence, etc ...
Ashwani K. Bhandari, I. B. S. Passi
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Canadian Mathematical Bulletin, 2000
AbstractLet G be an arbitrary group and let U be a subgroup of the normalized units in ℤG. We show that if U contains G as a subgroup of finite index, then U = G. This result can be used to give an alternative proof of a recent result of Marciniak and Sehgal on units in the integral group ring of a crystallographic group.
Farkas, Daniel R., Linnell, Peter A.
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AbstractLet G be an arbitrary group and let U be a subgroup of the normalized units in ℤG. We show that if U contains G as a subgroup of finite index, then U = G. This result can be used to give an alternative proof of a recent result of Marciniak and Sehgal on units in the integral group ring of a crystallographic group.
Farkas, Daniel R., Linnell, Peter A.
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