Zobrazeno 1 - 10 of 16 pro vyhledávání: '"Mashhour Bani-Ata"'
1
On construction of certain Fischer embedded subgroups generated by 3-transpositions in Fi22
Autor: Mashhour Bani-Ata
Publikováno v: Asian-European Journal of Mathematics. 16
In this paper, we investigate the Fischer group [Formula: see text]. This group is generated by a conjugacy class of involutions, any non-commuting pair of which has product of order 3. Such involutions are called transpositions and their conjugacy c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::476b7161ef8c6cd83a848df3d6bb5983
https://doi.org/10.1142/s1793557123500201
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2
A new existence proof of Fi22 in 2E6(2), a computational approach
Autor: Mashhour Bani-Ata, Fatin Alawam
Publikováno v: Communications in Algebra. 48:2766-2780
The purpose of this article is to give a new, explicit and elementary construction of the Fi22 in 2E6(2), using the notion of M-sets introduced by the second author, and properties of the generaliz...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ed6b8a54482fa2d887ada3d0576fd254
https://doi.org/10.1080/00927872.2020.1722826
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3
On Lie algebras of typeF4and Chevalley groupsF4(K),E6(K), and2E6(K) for fieldsKof characteristic two
Autor: Shuaa Aldhafeeri, Mashhour Bani Ata
Publikováno v: Communications in Algebra. 47:516-522
In this article, we give an elementary and self-contained approach to construct the Lie algebras of type F4(K) over an arbitrary field K of characteristic two. The Lie algebras are represented as s...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2b6d453c9f741c22e24b4819db349b6a
https://doi.org/10.1080/00927872.2018.1482308
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5
Exhaustive construction of four-dimensional unital division algebras over finite fields with Kleinian automorphism group
Autor: Mashhour Bani-Ata
Publikováno v: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 60:111-122
The purpose of this paper is to give an exhaustive construction of the four-dimensional unital division algebras A over finite fields $${\mathbb {F}}_q,q$$ is an odd prime, admitting an elementary abelian four-group of automorphisms $$E\le Aut(A)$$ ,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::21c49cb1cfd978ada3ae099626aad355
https://doi.org/10.1007/s13366-018-0407-5
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7
On eight-dimensional unital division algebras over finite fields
Autor: Mashhour Bani-Ata, Ra’ed Al-Nouty
Publikováno v: Communications in Algebra. 45:4974-4978
The purpose of this paper is to investigate the eight-dimensional non-associative unital division algebras {0}≠A over finite fields, admitting elementary abelian 2-group of automorphisms E≤Aut(A), ...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d70d2246967074e0b91d18ae4304ca45
https://doi.org/10.1080/00927872.2017.1288235
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9
On the construction of Lie-algebras of type $$E_6(K)$$ E 6 ( K ) for fields K of characteristic two
Autor: Shuaa Al-dhufeeri, Mashhour Bani Ata
Publikováno v: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 58:529-534
In this paper we give an elementery construction of the Lie algebras of type E6(K) for fields K of characteristic two.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f6d01171ce689aac94de6ba9813fe97b
https://doi.org/10.1007/s13366-016-0328-0
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