Results 1 to 10 of about 17,794,323 (210)
Hybrid Deep Learning Predictor for Smart Agriculture Sensing Based on Empirical Mode Decomposition and Gated Recurrent Unit Group Model. [PDF]
Sensors (Basel), 2020 Smart agricultural sensing has enabled great advantages in practical applications recently, making it one of the most important and valuable systems.
Jin XB +5 more
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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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Unit group of some finite semisimple group algebras
Journal of the Egyptian Mathematical Society, 2022 We provide the structure of the unit group of $${\mathbb {F}}_{p^k}S_n$$ F p k S n , where $$p>n$$ p > n is a prime and $$S_n$$ S n denotes the symmetric group on n letters.
Namrata Arvind, S. Panja
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Unit groups of finite group algebras of Abelian groups of order 17 to 20
AIMS Mathematics, 2021 Let $ F $ be a finite field of characteristic $ p $ having $ q = p^n $ elements and $ G $ be an abelian group. In this paper, we determine the structure of the group of units of the group algebra $ FG $, where $ G $ is an abelian group of order $ 17\leq |
Yunpeng Bai , Yuanlin Li, Jiangtao Peng
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A counterexample to the unit conjecture for group rings [PDF]
Annals of Mathematics, 2021 The unit conjecture, commonly attributed to Kaplansky, predicts that if $K$ is a field and $G$ is a torsion-free group then the only units of the group ring $K[G]$ are the trivial units, that is, the non-zero scalar multiples of group elements. We give a
Giles Gardam
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Proceedings of the American Mathematical Society, 2004 In this paper we study the groups G {\mathcal {G}} whose integral group rings have hyperbolic unit groups U ( Z G ) {\mathcal {U}(\mathbb {Z} {\mathcal {G}}) } .
Juriaans, S. O. +2 more
openaire +2 more sources
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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The unit groups of semisimple group algebras of some non-metabelian groups of order 144 [PDF]
Mathematica Bohemica, 2023 We consider all the non-metabelian groups $G$ of order $144$ that have exponent either 36 or 72 and deduce the unit group $U(\mathbb{F}_qG)$ of semisimple group algebra $\mathbb{F}_qG$.
Gaurav Mittal, Rajendra Kumar Sharma
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On unit group of finite semisimple group algebras of non-metabelian groups up to order 72 [PDF]
Mathematica Bohemica, 2021 We characterize the unit group of semisimple group algebras $\mathbb{F}_qG$ of some non-metabelian groups, where $F_q$ is a field with $q=p^k$ elements for $p$ prime and a positive integer $k$.
Gaurav Mittal, Rajendra Kumar Sharma
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The structure of the unit group of some group algebras
Miskolc Mathematical Notes, 2020 Let FM be the group algebra of the modular 2-group M over a finite field F of characteristic two. In the present note we establish the structure of the unit group of the group algebra FM and verify the question of Johnson.
Z. Balogh
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