Involutions in locally finite groups

Date

2004-04-01

Author

Kuzucuoğlu, Mahmut

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

171
views

0
downloads

The paper deals with locally finite groups G having an involution phi such that C-G(phi) is of finite rank. The following theorem gives a very detailed description of such groups.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/39377

Journal

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

DOI

https://doi.org/10.1112/s0024610703005015

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

On equivariant Serre problem for principal bundles Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2018-08-01) Let E-G be a Gamma-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Gamma, where G and Gamma are complex linear algebraic groups. Suppose X is contractible as a topological Gamma-space with a dense orbit, and x(0) is an element of X is a Gamma-fixed point. We show that if Gamma is reductive, then E-G admits a Gamma-equivariant isomorphism with the product principal G-bundle X x rho E-G(x(0)), where rho : Gamma -> G is a homomorphism between algebraic...
Stability criterion for second order linear impulsive differential equations with periodic coefficients Guseinov, G. Sh.; Zafer, Ağacık (Wiley, 2008-01-01) In this paper we obtain instability and stability criteria for second order linear impulsive differential equations with periodic coefficients. Further, a Lyapunov type inequality is also established. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Lefschetz Fibrations and an Invariant of Finitely Presented Groups Korkmaz, Mustafa (Oxford University Press (OUP), 2009-01-01) Every finitely presented group is the fundamental group of the total space of a Lefschetz fibration. This follows from results of Gompf and Donaldson, and was also proved by Amoros-Bogomolov-Katzarkov-Pantev. We give another proof by providing the monodromy explicitly. We then define the genus of a finitely presented group Gamma to be the minimal genus of a Lefschetz fibration with fundamental group Gamma. We also give some estimates of the genus of certain groups.
PERTURBATIONS OF NONASSOCIATIVE BANACH ALGEBRAS Dosi, Anar (Rocky Mountain Mathematics Consortium, 2009-01-01) In this note we prove that if either 21 is a Banach-Jordan algebra or a Banach-Lie algebra then all perturbations of the multiplication in 21 give algebras topologically isomorphic with 21 whenever certain small-dimension cohomology groups associated with 21 are vanishing.
NONCOMMUTATIVE MACKEY THEOREM Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01) In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.

Citation Formats

M. Kuzucuoğlu, “Involutions in locally finite groups,” JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, pp. 306–316, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39377.