Results 31 to 40 of about 17,794,323 (210)
Integral Group Rings with Nilpotent Unit Groups [PDF]
Canadian Journal of Mathematics, 1976 Let R be a ring with unit element and G a finite group. We denote by RG the group ring of the group G over R and by U(RG) the group of units of this group ring.The study of the nilpotency of U(RG) has been the subject of several papers.
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Units in $F_{2^k}D_{2n}$ [PDF]
International Journal of Group Theory, 2014 Let $F_q D_{2n}$ be the group algebra of $D_{2n}$, the dihedral group of order $2n$ over $F_q=GF(q)$. In this paper, we establish the structure of $U(F_{2^k}D_{2n})$, the unit group of $F_{2^k}D_{2n}$ and that of its normalized unitary subgroup $V_*(F_{2^
Neha Makhijani +2 more
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Units in group rings of crystallographic groups [PDF]
Fundamenta Mathematicae, 2003 Summary: \textit{Z. S. Marciniak} and \textit{S. K. Seghal} [Lect. Notes Pure Appl. Math. 198, 185-198 (1998; Zbl 0944.16029)] initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. We use this approach for some special classes of crystallographic groups.
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The unit group of algebra of circulant matrices [PDF]
International Journal of Group Theory, 2014 Let $Cr_{n}(F)$ denote the algebra of $n times n$ circulant matrices over the field $F$. In this paper, we study the unit group of $Cr_{n}(F_{p^m})$, where $F_{p^m}$ denotes the Galois field of order $p^{m}$, $p$ prime.
Neha Makhijani +2 more
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Canadian Prosthetics & Orthotics Journal, 2021 BACKGROUND: Lab-based simulators can help to reduce variability in prosthetics research. However, they have not yet been used to investigate the effects of sweating at the residuum-liner interface.
Michael McGrath +6 more
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Group Identities on Units of Group Algebras
Journal of Algebra, 2000 Let \(U\) be the group of units of the group algebra \(FG\), where \(G\) is a group and \(F\) is a field. This paper is concerned with determining when \(U\) satisfies a group identity. If \(G\) is torsion, then this question was settled in recent years, thereby yielding an affirmative solution to Hartley's problem.
Giambruno, A., Sehgal, S.K., Valenti, A.
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On Algebraic Properties of Primitive Eisenstein Integers with Applications in Coding Theory
EntropyAn even Eisenstein integer is a multiple of an Eisenstein prime of the least norm. Otherwise, an Eisenstein integer is called odd. An Eisenstein integer that is not an integer multiple of another one is said to be primitive.
Abdul Hadi +3 more
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Structure of the unit group of the group algebras of non-metabelian groups of order 128 [PDF]
Mathematica BohemicaWe characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group.
Navamanirajan Abhilash +3 more
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Unit groups of group algebras on certain quasidihedral groups [PDF]
Surveys in Mathematics and its Applications, 2022 Let Fq be any finite field of characteristic p>0 having q = pn elements. In this paper, we have obtained the complete structure of unit groups of group algebras Fq[QD2k], for k = 4 and 5, for any prime p>0, where QD2k is quasidihedral group of order 2k.
Suchi Bhatt, Harish Chandra
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BMJ Open, 2023 Objectives Managing older adults with multimorbidity may be challenging due to the conflicting benefits and harms of multiple treatments. Thus, it is important to identify patients’ health outcome priorities to align treatment goals with their health ...
Eng Sing Lee +5 more
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