Results 11 to 20 of about 2,416,536 (63)
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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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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Probabilistically-like nilpotent groups
, 2022 The main goal of the paper is to present a general model theoretic framework to understand a result of Shalev on probabilistically finite nilpotent groups.
Palacín Cruz, Daniel
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Solvable Lie A-algebras. [PDF]
, 2011 A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A., David A. Towers
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Functional equations for zeta functions of groups and rings
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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Semigroups with certain finiteness conditions and Chernikov groups [PDF]
, 2012 The main purpose of this short survey is to show how groups of special structure, which are accepted to be called Chernikov groups, appeared in the considerations of semigroups with certain finiteness conditions.
Shevrin, L. N.
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On groups covered by locally nilpotent subgroups [PDF]
, 2017 Let N be the class of pronilpotent groups, or the class of locally nilpotent profinite groups, or the class of strongly locally nilpotent profinite groups. It is proved that a profinite group G is finite-by-N if and only if G is covered by countably many
Detomi, Eloisa +5 more
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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, Burke, E.K
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Subregular representations of Sln and simple singularities of type An-1. Part II [PDF]
, 2003 The aim of this paper is to show that the structures on K-theory used to formulate Lusztig's conjecture for subregular nilpotent sln-representations are, in fact, natural in the McKay correspondence.
Rumynin, D. +5 more
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Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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