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Noether’s Problem for p-Groups with Abelian Normal Subgroups and Central p-Powers

open access: yesMathematics
This paper addresses Noether’s problem for p-groups G, having an abelian normal subgroup of index p, under the condition Gp={gp:g∈G}≤Z(G)—the center of G.
Ivo M. Michailov, Ivailo A. Dimitrov
doaj   +1 more source

The C*-algebras of real two-step nilpotent Lie groups [PDF]

open access: yes, 2015
Using the operator valued Fourier transform, the C*-algebras of connected real two-step nilpotent Lie groups are characterized as algebras of operator fields defined over their spectra.
Günther, Janne-Kathrin
core  

Diophantine properties of nilpotent Lie groups [PDF]

open access: yes, 2016
A finitely generated subgroup ${\rm\Gamma}$ of a real Lie group $G$ is said to be Diophantine if there is ${\it\beta}>0$ such that non-trivial elements in the word ball $B_{{\rm\Gamma}}(n)$ centered at $1\in {\rm\Gamma}$ never approach the identity of $G$
Nicolas De Saxcé   +7 more
core  

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

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