Results 21 to 30 of about 32,895 (317)
Continuous-Like Linear Operators on Bilinear Spaces
Journal of Mathematical and Fundamental Sciences, 2020 This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to ...
Sabarinsyah Sabarinsyah +2 more
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Remarks on Conjectures in Block Theory of Finite Groups
Axioms, 2023 In this paper, we focus on Brauer’s height zero conjecture, Robinson’s conjecture, and Olsson’s conjecture regarding the direct product of finite groups and give relative versions of these conjectures by restricting them to the algebraic concept of the ...
Manal H. Algreagri, Ahmad M. Alghamdi
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Group codes over binary tetrahedral group
Journal of Mathematical Cryptology, 2022 In this article, the group algebra K[T]{\mathcal{K}}\left[{\mathscr{T}}] of the binary tetrahedral group T{\mathscr{T}} over a splitting field K{\mathcal{K}} of T{\mathscr{T}} with char(K)≠2,3{\rm{char}}\left({\mathcal{K}})\ne 2,3 is studied and the ...
Dadhwal Madhu, Pankaj
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Group Algebras of Finite Groups as Lie Algebras [PDF]
Communications in Algebra, 2010 We consider the natural Lie algebra structure on the (associative) group algebra of a finite group $G$, and show that the Lie subalgebras associated to natural involutive antiautomorphisms of this group algebra are reductive ones. We give a decomposition in simple factors of these Lie algebras, in terms of the ordinary representations of $G$.
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Self-Dual Normal Basis of a Galois Ring
Journal of Mathematics, 2014 Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is ...
Irwansyah +3 more
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EPJ Web of Conferences, 2014 In 1986 Fumy proposed a simplified approach to calculate inverse discrete Fourier transform (IDFT) using normal bases and its dual in encoding cyclic codes in the spectral domain.
Irwansyah +4 more
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Proof of some properties of transfer using noncommutative determinants [PDF]
Advances in Group Theory and Applications, 2018 A transfer is a group homomorphism from a group to an abelian quotient group of a subgroup of finite index. In this paper, we give a natural interpretation of the transfers in group theory in terms of noncommutative determinants.
Naoya Yamaguchi
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Irreducible Characters with Cyclic Anchor Group
Axioms, 2023 We consider G to be a finite group and p as a prime number. We fix ψ to be an irreducible character of G with its restriction to all p-regular elements of G and ψ0 to be an irreducible Brauer character.
Manal H. Algreagri, Ahmad M. Alghamdi
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On the unit group of a semisimple group algebra $\mathbb{F}_qSL(2, \mathbb{Z}_5)$ [PDF]
Mathematica Bohemica, 2022 We give the characterization of the unit group of $\mathbb{F}_qSL(2, \mathbb{Z}_5)$, where $\mathbb{F}_q$ is a finite field with $q = p^k$ elements for prime $p > 5,$ and $SL(2, \mathbb{Z}_5)$ denotes the special linear group of $2 \times2$ matrices ...
Rajendra K. Sharma, Gaurav Mittal
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On unit P-Groups in Group Algebra [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2009 :The aim of this paper we have define the group of units U(F(G)), where F(G) is the group algebra with G is finite group over a field F. Now if char F=0 and G nonabelian or F is a nonabsolute field of characterstic > 0 and G/ O (G) is nonabelian, then it
ALAA .A. AWAD
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