Results 11 to 20 of about 15,532 (201)
Generalized nilpotent braces and nilpotent groups [PDF]
International Journal of Group Theory, 2023 The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning $\star$-hypercentral and locally $\star$-nilpotent braces are given.
Martyn Dixon +2 more
doaj +3 more sources
Unification and equation solving in nilpotent groups and monoids [PDF]
, 1991 Unification and equation solving have been considered for groups [44], semigroups [43], abelian groups [39] and abelian semigroups [25], [33], [68], [69]. In this thesis we consider partially commutative groups and monoids. Nilpotency provides us with a
Burke, Edmund Kieran
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Annales Henri Poincaré, 2021 AbstractWe consider algebraic varieties canonically associated with any Lie superalgebra, and study them in detail for super-Poincaré algebras of physical interest. They are the locus of nilpotent elements in (the projectivized parity reversal of) the odd part of the algebra.
Richard Eager +2 more
openaire +3 more sources
Nilpotent injectors in finite groups [PDF]
, 2011 We prove that the odd nilpotent injectors (a certain type of maximal nilpotent subgroup) f a minimal simple group are all conjugate, extending the result from soluble groups. We also prove conjugacy in GU(\_3\)(q) and SU(\_3\)(q).
Morris, Thomas Bembridge Slater
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NILPOTENT SUBSPACES AND NILPOTENT ORBITS [PDF]
Journal of the Australian Mathematical Society, 2018 Let $G$ be a semisimple complex algebraic group with Lie algebra $\mathfrak{g}$. For a nilpotent $G$-orbit ${\mathcal{O}}\subset \mathfrak{g}$, let $d_{{\mathcal{O}}}$ denote the maximal dimension of a subspace $V\subset \mathfrak{g}$ that is contained in the closure of ${\mathcal{O}}$.
Panyushev, Dmitri I. +1 more
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ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS [PDF]
Korean Journal of Mathematics, 2013 Summary: Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, introducing the notion of nil-Armendariz rings. Hizem extended the nil-Armendariz property for polynomial rings onto power-series rings, say nil power-serieswise rings.
Kwak, Tai Keun, Lee, Yang
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Enumerating finite class-2-nilpotent groups on 2 generators [PDF]
, 2009 We compute the numbers g(n,2,2) of nilpotent groups of order n, of class atmost 2 generated by at most 2 generators, by giving an explicit formula for theDirichlet generating function \sum_{n=1}^\infty g(n,2,2)n^{-s}
Voll, Christopher, Christopher Voll
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Formalized Mathematics, 2010 Nilpotent Groups This article describes the concept of the nilpotent group and some properties of the nilpotent groups.
Li, Dailu, Liang, Xiquan, Men, Yanhong
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Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]
, 2006 We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J +8 more
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