Results 91 to 100 of about 45,695 (240)

On some groups whose subnormal subgroups are contranormal-free [PDF]

open access: yesInternational Journal of Group Theory
If $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups.
Leonid Kurdachenko   +2 more
doaj   +1 more source

Almost group theory

open access: yes, 2015
The notion of almost centralizer and almost commutator are introduced and basic properties are established. They are used to study $\widetilde{\mathfrak M}\_c$-groups, i.
Hempel, Nadja
core   +1 more source

Geodesics in nilpotent Lie groups

open access: yes, 2007
We study the geodesics problem in Heisenberg group H (case SR and riemannian). The sheaf of infinitesimal automorphisms of the (2n,2n+1) distribution D over H is an infinite, transitive Lie algebra sheaf.Comment: to appear in Proceeding of GAP 2007 ...
Abib, Odinette Renée
core   +1 more source

On Finite Nilpotent Groups [PDF]

open access: yesCanadian Journal of Mathematics, 1960
It is well known that if (n, ϕ(n)) = 1, where ϕ(n) denotes the Euler ϕ function, then the only group of order n is the cyclic group. This is a special case of a more general result due to Dickson (2, p. 201); namely, ifwhere the pi are distinct primes and each αi > 0, the necessary and sufficient conditions that the only groups of order n are ...
openaire   +2 more sources

Two notes on nilpotent groups [PDF]

open access: bronze, 1952
Roger C. Lyndon
openalex   +1 more source

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