Results 81 to 90 of about 70,900 (224)
Nilpotence and local nilpotence of linear groups
Linear Algebra and its Applications, 1976 AbstractLet GL(n,F) denote the general linear group over a commutative field F. It is well known that locally solvable subgroups of GL(n,F) are always solvable, but in general locally nilpotent subgroups need not always be nilpotent. The object of the present paper is to clarify this situation. For each odd prime p, let Fp be a splitting field for Xp −
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 18, 30 September 2025.ABSTRACT The partitioned approach for fluid‐structure interaction (FSI) simulations involves solving the structural and flow field problems sequentially. This approach allows separate settings for the fluid and solid subsystems, ensuring modularity and leveraging advanced commercial and open‐source software capabilities to offer increased flexibility ...
A. Aissa‐Berraies +3 more
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First order linear ordinary differential equations in associative algebras
Electronic Journal of Differential Equations, 2004 In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
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Nilpotent spaces: some inequalities on nilpotency degrees [PDF]
Proceedings of the American Mathematical Society, 1992 Our purpose in this work is to compare the nilpotency degree of the action of π 1 ( X ) {\pi _1}(X) on π n ( X ) ( 2 ≤ n ≤ 7 )
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A characterisation of nilpotent blocks [PDF]
Proceedings of the American Mathematical Society, 2015 Let $B$ be a $p$-block of a finite group, and set $m=$ $\sum (1)^2$, the sum taken over all height zero characters of $B$. Motivated by a result of M. Isaacs characterising $p$-nilpotent finite groups in terms of character degrees, we show that $B$ is nilpotent if and only if the exact power of $p$ dividing $m$ is equal to the $p$-part of $|G:P|^2|P ...
Kessar, R., Linckelmann, M., Navarro, G.
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Annalen der Physik, Volume 537, Issue 9, September 2025.Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
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Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less than or Equal to 6
Advances in Mathematical Physics, 2021 In this paper, we classify all the finite-dimensional nilpotent Lie superalgebras of multiplier-rank less than or equal to 6 over an algebraically closed field of characteristic zero.
Shuang Lang, Jizhu Nan, Wende Liu
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Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, Volume 8, Issue 9, September 2025.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
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A note on the normalizer of Sylow 2-subgroup of special linear group $SL_2(p^f)$ [PDF]
International Journal of Group Theory, 2014 Let $G=SL_2(p^f)$ be a special linear group and $P$ be a Sylow $2$-subgroup of $G$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. By $N_G(P)$ we denote the normalizer of $P$ in $G$.
Jiangtao Shi
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Nilpotency of Derivations. II [PDF]
Proceedings of the American Mathematical Society, 1984 The authors recently proved that for a semiprime ring without 2 2 -torsion, a nilpotent derivation must have odd nilpotency. In this paper, we show the intriguing phenomenon that for a semiprime ring with characteristic 2, the nilpotency of a nilpotent derivation must be of the form 2 n {
Jiang Luh, L. O. Chung
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