Results 41 to 50 of about 17,683 (170)

Group algebras and algebras of Golod-Shafarevich [PDF]

Proceedings of the American Mathematical Society, 1987
In [ 2 ], Golod, using results of Golod and Shafarevich [ 1 ], has constructed a finitely generated algebra A
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Algorithms for Majority Decoding of Group Codes

Моделирование и анализ информационных систем, 2015
We consider a problem of constructive description and justification of the algorithms necessary for a practical implementation of the majority decoder for group codes specified as left ideals of groupalgebras.
V. M. Deundyak, Y. V. Kosolapov
doaj   +1 more source

Monothetic algebraic groups [PDF]

Journal of the Australian Mathematical Society, 2007
AbstractWe call an algebraic group monothetic if it possesses a dense cyclic subgroup. For an arbitrary field k we describe the structure of all, not necessarily affine, monothetic k-groups G and determine in which cases G has a k-rational generator.
FALCONE, Giovanni, PLAUMANN P, STRAMBACH, K.   +2 more
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The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra

Journal of Mathematics, 2021
Set L≔H4⊗ℂR, R≔ℂt±1, and S≔ℂt±1/mm∈ℤ+. Then, L is called the loop Nappi–Witten Lie algebra. R-isomorphism classes of S/R forms of L are classified. The automorphism group and the derivation algebra of L are also characterized.
Xue Chen
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Expanders In Group Algebras [PDF]

COMBINATORICA, 2004
Let G be a finite group and let p be a prime such that (p, |G|) = 1. We study conditions under which the Abelian group $$\Bbb F$$ p [G] has a few G-orbits whose union generate it as an expander (equivalently, all the discrete Fourier coefficients (in absolute value) of this generating set are bounded away uniformly from one).We prove a (nearly sharp ...
Roy Meshulam, Avi Wigderson
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Some Remarks on Anchor of Irreducible Characters [PDF]

Advances in Group Theory and Applications
In this paper, we show that the direct product of the anchors of two irreducible characters is the anchor of the tensor product of their irreducible characters. We prove that the anchor of any irreducible character of a p-group G is G itself.
Manal H. Algreagri, Ahmad M. Alghamdi
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Algebraic groups as automorphism groups of algebras

, 2020
We show that every algebraic group scheme over a field with at least 8 elements can be realized as the group of automorphisms of a nonassociative algebra. This is only a modest improvement of the theorem of Gordeev and Popov (2003), but it allows us to give a new characterization of algebraic Lie algebras and to simplify the standard descriptions of ...
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Derived category of weak chain U-complexes

Heliyon
In this paper, we define the derived category of weak chain U-complexes, and we give a characterization of any weak chain U-complex as an object in the right bounded homotopy category of weak chain U-complexes of projective modules.
Fajar Yuliawan, Intan Muchtadi-Alamsyah, Valerian Pratama, Gustina Elfiyanti   +3 more
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Algebra for Heckoid Groups [PDF]

Transactions of the American Mathematical Society, 1992
We introduce an infinite collection of (Laurent) polynomials associated with a 2 2 -bridge knot or link normal form
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On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra

JTAM (Jurnal Teori dan Aplikasi Matematika), 2020
In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
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