Results 121 to 130 of about 4,317 (227)

Characterizations of \(p\)-nilpotent groups

open access: yesOsaka Journal of Mathematics, 1994
Let \(G\) be a finite group and let \(p\) be a prime. The results in this paper are mainly concerned with characters of height 0 in the principal \(p\)-block and with implications for the \(p\)-nilpotency of \(G\). For example it is shown that \(G\) is \(p\)-nilpotent if and only if every character of height 0 in the principal block is modularly ...
openaire   +4 more sources

The Schur multiplier of a nilpotent group

open access: yes, 1985
In this paper we obtain upper and lower bounds for the rank of the Schur multiplier of a nilpotent group in terms of the nilpotency class and the number of generators and rank of the derived quotient.
Ursula Martin Webb
core   +1 more source

The influence of the totally permutability of subgroups on σ-nilpotent residual(子群的完全置换性对σ-幂零根的影响)

open access: yesZhejiang Daxue xuebao. Lixue ban
Similar to the influence on nilpotent residual of the totally permutability of subgroups,naturally,we can study their influence on σ-nilpotent residual when nilpotent groups are generalized to σ-nilpotent groups.The intersection of all normal subgroups N
施智杰(SHI Zhijie)   +2 more
doaj   +1 more source

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

open access: yesМатематичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

Random Nilpotent Groups I

open access: yes, 2017
We study random nilpotent groups in the well-established style of random groups, by choosing relators uniformly among freely reduced words of (nearly) equal length and letting the length tend to infinity.
Duong, Yen   +9 more
core   +1 more source

Regular maps with nilpotent automorphism group

open access: yes, 2016
A 2-cell decomposition of a closed orientable surface is called a regular map if its automorphism group acts transitively on the set of all its darts (or arcs).
Škoviera, M   +3 more
core   +1 more source

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

open access: yesJ Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Nilpotent quandles

open access: yes, 2022
A nilpotent quandle is a quandle whose inner automorphism group is nilpotent. Such quandles have been called reductive in previous works, but it turns out that their behaviour is in fact very close to nilpotency for groups. In particular, we show that it
Darné, Jacques
core  

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