Results 261 to 270 of about 8,796 (305)

Lie solvable group algebras and solvable unit group

open access: yes, 2007
This note is a short survey of recent results and open problems in the framework of Lie solvable group algebras.
SPINELLI, ERNESTO
openaire   +3 more sources

On Codegrees and Solvable Groups

Bulletin of the Iranian Mathematical Society, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yinling Gao, Yang Liu
openaire   +2 more sources

CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL

International Journal of Algebra and Computation, 2013
We give a survey of new characterizations of finite solvable groups and the solvable radical of an arbitrary finite group which were obtained over the past decade. We also discuss generalizations of these results to some classes of infinite groups and their analogues for Lie algebras. Some open problems are discussed as well.
Fritz Grunewald   +2 more
openaire   +3 more sources

On solvable R* -groups

Journal of Group Theory, 2003
A group \(G\) is called \(R^*\)-group if for all \(n>0\) and elements \(g\) and \(x_1,\dots,x_n\) the equation \(g^{x_1 }\cdots g^{x_n }=1\) implies \(g=1\). The following results are proved: (1) if \(G\) is an Abelian-by-nilpotent as well as nilpotent-by-Abelian \(R^*\)-group, then every partial order on \(G\) can be extented to a linear order; (2) if
LONGOBARDI, Patrizia   +2 more
openaire   +3 more sources

Quadratic rational solvable groups

open access: yesJournal of Algebra, 2012
A finite group G is quadratic rational if all its irreducible characters are either rational or quadratic. If G is a quadratic rational solvable group, we show that the prime divisors of |G| lie in {2,3,5,7,13}, and no prime can be removed from this list.
Joan Tent
exaly   +2 more sources

Homogeneous Solvable Groups

Journal of the London Mathematical Society, 1991
The authors say a group is homogeneous if any isomorphism between two of its finitely generated subgroups is induced by an automorphism. (In model theory there are also other versions of the concept of homogeneity; see the paper of \textit{B. I. Rose} and \textit{R. E. Woodrow} [Z. Math. Logik Grundlagen Math.
Cherlin, Gregory L., Felgner, Ulrich
openaire   +1 more source

Dominions in Solvable Groups

Algebra and Logic, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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