Results 1 to 10 of about 1,557 (178)

On locally finite minimal non-solvable groups

Open Mathematics, 2010
Abstract In the present work we consider infinite locally finite minimal non-solvable groups, and give certain characterizations. We also define generalizations of the centralizer to establish a result relevant to infinite locally finite minimal non-solvable groups.
Smith, Howard, ARIKAN, AHMET, Sezer, Sezgin   +2 more
openaire   +4 more sources

A classification of the finite non-solvable minimal non-CA-groups [PDF]

Journal of Algebra and Its Applications, 2020
A group is called a CA-group if the centralizer of every non-central element is abelian. Furthermore, a group is called a minimal non-CA-group if it is not a CA-group itself, but all of its proper subgroups are. In this paper, we give a classification of the finite non-solvable minimal non-CA-groups.
Jafari, Leyli, Kohl, Stefan, Zarrin, Mohammad   +2 more
openaire   +3 more sources

2-elements in an Autotopism Group of a Semifield Projective Plane

Известия Иркутского государственного университета: Серия "Математика", 2022
We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
doaj   +1 more source

Characterizations of Fitting p-Groups whose Proper Subgroups are Solvable [PDF]

Advances in Group Theory and Applications, 2017
This work continues the study of infinitely generated groups whose proper subgroups are solvable and in whose homomorphic images normal closures of finitely generated subgroups are residually nilpotent. In [4], it has been shown that such a group, if not
A.O. Asar
doaj   +1 more source

Corrigendum to: “Characterizations of Fitting p-Groups whose Proper Subgroups are Solvable” [PDF]

Advances in Group Theory and Applications, 2017
The paper entitled "Characterizations of Fitting p-Groups whose Proper Subgroups are Solvable" (Adv. Group Theory Appl. 3 (2017), 31-53) contains a serious error. The proof of Lemma 2.8 relating to p=3 is false.
A.O. Asar
doaj   +1 more source

Corrigendum II to: “Characterization of Fitting p-groups whose proper subgroups are solvable” [PDF]

Advances in Group Theory and Applications, 2018
Unfortunately “Corrigendum to Characterizations of Fitting p-groups whose proper subgroups are solvable” contains an error in the conclusion part of Lemma 2.1 (c).
A.O. Asar
doaj   +1 more source

Hierarchy of Topological Order From Finite-Depth Unitaries, Measurement, and Feedforward

PRX Quantum, 2023
Long-range entanglement—the backbone of topologically ordered states—cannot be created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation.
Nathanan Tantivasadakarn, Ashvin Vishwanath, Ruben Verresen   +2 more
doaj   +1 more source

A minimal non-solvable group of homeomorphisms

Groups, Geometry, and Dynamics, 2009
Let \mathrm{PL}_o(I) represent the group of orientation-preserving piecewise-linear homeomorphisms of the unit interval which admit finitely many breaks in slope, under the operation of composition. We find a non-solvable group W and
openaire   +3 more sources

Minimal Nonsolvable Bieberbach Groups

Experimental Mathematics
Several authors have shown that there exist nonsolvable Bieberbach groups of dimension 15. In this paper, we show that this is, in fact, a minimal dimension for such groups.
Rafal Lutowski, Andrzej Szczepanski
openaire   +2 more sources

Examples of a complex hyperpolar action without singular orbit

Cubo, 2010
The notion of a complex hyperpolar action on a symmetric space of non-compact type has recently been introduced as a counterpart to the hyperpolar action on a symmetric space of compact type.
Naoyuki Koike
doaj