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Finite groups with a unique nonlinear nonfaithful irreducible character

Ali Iranmanesh, Amin Saeidi (2011)

Archivum Mathematicum

In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only $p$ -groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if $G$ is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful irreducible character then $G$ is solvable.

Finitely generated soluble groups with an Engel condition on infinite subsets

Alireza Abdollahi (2000)

Rendiconti del Seminario Matematico della Università di Padova

Finitely generated soluble groups with an Engel condition on infinite subsets

Patrizia Longobardi, Mercede Maj (1993)

Rendiconti del Seminario Matematico della Università di Padova

First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups.

Gupta, Ch.K., Timoshenko, E.I. (2006)

Sibirskij Matematicheskij Zhurnal

Følner sequences in polycyclic groups.

Christophe Pittet (1995)

Revista Matemática Iberoamericana

The isoperimetric inequality |∂Ω| / |Ω| = constant / log |Ω| for finite subsets Ω in a finitely generated group Γ with exponential growth is optimal if Γ is polycyclic.

Displaying 1 – 5 of 5

Finite groups with a unique nonlinear nonfaithful irreducible character

Finitely generated soluble groups with an Engel condition on infinite subsets

Finitely generated soluble groups with an Engel condition on infinite subsets

First-order definability and algebraicity of the sets of annihilating and generating collections of elements for some relatively free solvable groups.

Følner sequences in polycyclic groups.

Currently displaying 1 – 5 of 5