Results 31 to 40 of about 15,532 (201)
Pacific Journal of Mathematics, 1995 Let \(\pi\) be a set of primes, and let \(G\) be a finite \(\pi\)-separable group. Isaacs has defined a canonical basis \(I_\pi(G)\) for the vector space of class functions on the set of \(\pi\)-elements in \(G\). The author calls an element \(\varphi\in I_\pi(G)\) nilpotent if \(\varphi\) is induced from an element \(\delta\in I_\pi(K)\) where \(K ...
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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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On almost finitely generated nilpotent groups
International Journal of Mathematics and Mathematical Sciences, 1996 A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
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Towards semi-classical analysis for sub-elliptic operators
Bruno Pini Mathematical Analysis Seminar, 2022 We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators.
Véronique Fischer
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Nilpotent groups are round [PDF]
Israel Journal of Mathematics, 2008 We define a notion of roundness for finite groups. Roughly speaking, a group is round if one can order its elements in a cycle in such a way that some natural summation operators map this cycle into new cycles containing all the elements of the group. Our main result is that this combinatorial property is equivalent to nilpotence.
Berend, Daniel, Boshernitzan, Michael D.
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Математичні Студії, 2021 We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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On the permutability of Sylow subgroups with derived subgroups of B-subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2019 A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2 ...
Ekaterina V. Zubei
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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
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Nilpotency and strong nilpotency for finite semigroups [PDF]
The Quarterly Journal of Mathematics, 2018 AbstractNilpotent semigroups in the sense of Mal’cev are defined by semigroup identities. Finite nilpotent semigroups constitute a pseudovariety, MN, which has finite rank. The semigroup identities that define nilpotent semigroups lead us to define strongly Mal’cev nilpotent semigroups.
Almeida, J. +2 more
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On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups [PDF]
Mathematics Interdisciplinary Research, 2020 The concept of n-nilpotent groups was introduced by Moghaddam and Mashayekhy in 1991 which is in a way a generalized version of the notion of nilpotent groups.
Azam Pourmirzaei, Yaser Shakourie
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