Proceedings of the London Mathematical SocietyD.J.S. Robinson, A contribution to the theory of groups with finitely many automor- phisms, Proc. London Math. Soc. (3) 35 (1977), 34-54.Robinson, D. J. X. (1977) A contribution to the theory of groups with finitely many automorphisms....
Computation in Nilpotent Groups (Application) A. J. Bayes, J. Kautsky, J. W. Wamsley Pages 82-89 Between Logic and Group Theory William W. Boone Pages 90-102 On the Structure of Blocks of Characters of Finite Groups Richard Brauer Pages 103-130 Transiti...
The model theory of groups of unitriangular matrices over rings is studied. An important tool in these studies is a new notion of a quasiunitriangular group. The models of the theory of all unitriangular groups (of fixed nilpotency class) are algebraically characterized; it turns out that ...
Some Galois Theory The Jordan-Ho1der Theorem Solvable Groups Two Theorems of P. Hall Central Series and Nilpotent Groups p-Groups CHAPTER 6 Finite Direct Products The Basis Theorem The Fundamental Theorem of Finite Abelian Groups Canonical Forms; Existence ...
Currently, the theory of Lie groups has evolved into a crucial tool for mathematicians and scientists across diverse fields, spanning physics, engineering, and finance. To conclude this introductory section, it is imperative to emphasize that, under specific limit regimes, the diffusion equation can ...
L. Childs has defined a skew brace (G,⋅,∘) to be a bi-skew brace if (G,∘,⋅) is also a skew brace, and has given applications of this concept to the equivalent theory of Hopf-Galois structures. The goal of this paper is to deal with bi-skew braces (G,⋅,∘) fro...
Mathematics - Group Theory20F1029F18An algorithm is constructed that, when given an explicit presentation of afinitely generated nilpotent group $G,$ decides for any pair of endomorphisms$\\\varphi, \\\psi : G o G$ and any pair of elements $u, v \\\in G,$ whether or notthe equation...
8, we complete the proof by showing that a bounded-class nilpotent group satisfying the covering condition is bounded-by-class-3-by-bounded. To do this, we use induction on nilpotency class to reduce to the class-4 case. In the class- 4 case, we use the theory of multilinear bias (...
1.1Springer theory and Hecke algebras We first review some key points of Springer theory, largely following the perspective of [34,48]. Letdenote a complex reductive group with Lie algebraand Borel. We denote bythe flag variety,the nilpotent cone,the Springer resolution, andthe Steinberg variety...
nilpotent Encyclopedia Wikipedia nil·po·tent (nĭl-pōt′nt, nĭl′pōt′nt) n. An algebraic quantity that when raised to a certain power equals zero. [nil+ Latinpotēns, potent-,having power; seepotent.] nil·po′ten·cyn. American Heritage® Dictionary of the English Language, Fifth...