Výsledky vyhledávání - "Sudarshan K. Sehgal"

On the Lower Bound of the Derived Length of the Unit Group of a Nontorsion Group Algebra

Autor: Ernesto Spinelli, Sudarshan K. Sehgal, Gregory T. Lee, Tibor Juhász

Publikováno v: Algebras and Representation Theory. 23:457-466

Let G be a nonabelian nilpotent group and F a field of characteristic p > 2, such that the unit group $\mathcal {U}(FG)$ of the group ring FG is solvable and G contains a p-element. Here we provide a lower bound for the derived length of \(\mathcal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::659e75bea19b65daece28eb3f5bcb796
https://doi.org/10.1007/s10468-019-09855-x

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Torsion matrices over commutative integral group rings

Autor: Gregory T. Lee, Sudarshan K. Sehgal

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Let ${\mathbb Z}A$ be the integral group ring of a finite abelian group $A$, and $n$ a positive integer greater than 5. We provide conditions on $n$ and $A$ under which every torsion matrix $U$, with identity augmentation, in $GL_n({\mathbb Z}A)$ is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78671a93b14f85ec4b1834b446fc1617
http://hdl.handle.net/2072/379947

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Star-group identities on units of group algebras: The non-torsion case

Autor: Sudarshan K. Sehgal, César Polcino Milies, Antonio Giambruno

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

Let G be a group, F a field and FG the corresponding group algebra. We consider an involution on FG which is the linear extension of an involution of G, e.g., g * = g - 1 {g^{*}=g^{-1}} for g ∈ G {g\in G} . This paper is focused on the characteriza

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::018677d7814504e24292c6b151e774e0
https://doi.org/10.1515/forum-2016-0266

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Group Rings with Solvable Unit Groups of Minimal Derived Length

Autor: Sudarshan K. Sehgal, Gregory T. Lee, Ernesto Spinelli

Publikováno v: Algebras and Representation Theory. 17:1597-1601

Let F be a field of characteristic p > 2 and G a nonabelian nilpotent group containing elements of order p. Write F G for the group ring. The conditions under which the unit group 𝒰(F G) is solvable are known, but only a few results have been prov

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e22213bf6776306686635297659811c6
https://doi.org/10.1007/s10468-013-9461-8

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Group algebras and Lie nilpotence

Autor: Polcino Milies, Antonino Giambruno, Sudarshan K. Sehgal

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

Let ⁎ be an involution of a group algebra FG induced by an involution of the group G. For char F ≠ 2 , we classify the groups G with no 2-elements and with no nonabelian dihedral groups involved whose Lie algebra of ⁎-skew elements is nilpotent

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Lie properties of symmetric elements in group rings II

Autor: Sudarshan K. Sehgal, Ernesto Spinelli, Gregory T. Lee

Publikováno v: Journal of Pure and Applied Algebra. 213(6):1173-1178

Let F be a field of characteristic different from 2, and G a group with involution ∗ . Write ( F G ) + for the set of elements in the group ring F G that are symmetric with respect to the induced involution. Recently, Giambruno, Polcino Milies and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac42ce40dde2df3973d3f162db8c17e0

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Finite-dimensional simple graded algebras

Autor: Yu. A. Bahturin, Sudarshan K. Sehgal, Mikhail Zaicev

Publikováno v: Sbornik: Mathematics. 199:965-983

Let R be a finite-dimensional algebra over an algebraically closed field F graded by an arbitrary group G. In the paper it is proved that if the characteristic of F is zero or does not divide the order of any finite subgroup of G, then R is graded si

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::eaae96bf96e7ad45e516434ad334a353
https://doi.org/10.1070/sm2008v199n07abeh003949

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