Cover Image

Generalized norms of groups

In this survey paper the authors specify all the known findings related to the norms of the group and their generalizations. Special attention is paid to the analysis of their own study of different generalized norms, particularly the norm of non-cyclic subgroups, the norm of Abelian non-cyclic subg...

Full description

Saved in:

Bibliographic Details
Published in:	Algebra and Discrete Mathematics
Date:	2016
Main Authors:	Drushlyak, M.G., Lukashova, T.D., Lyman, F.M.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2016
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/155745
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Generalized norms of groups / M.G. Drushlyak, T.D. Lukashova, F.M. Lyman // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 48-81. — Бібліогр.: 127 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

Generalized norms of groups
by: M. Drushlyak, et al.
Published: (2016)

Generalized norms of groups: retrospective review and current status
by: Lukashova, T., et al.
Published: (2023)

On relations between generalized norms in locally finite groups
by: Lukashova, Tetiana, et al.
Published: (2025)

Erratum for "Generalized norms of groups: retrospective review and current status"
by: Lukashova, Tetiana, et al.
Published: (2025)

Locally soluble groups with the restrictions on the generalized norms
by: Lukashova, T.
Published: (2020)

Locally soluble groups with the restrictions on the generalized norms
by: Lukashova, T.
Published: (2020)

Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups
by: F. M. Lyman, et al.
Published: (2019)

On Infinite Groups with Given Properties of the Norm of Infinite Subgroups
by: Lyman, F. N., et al.
Published: (2001)

On groups with the minimal condition for non-invariant decomposable abelian subgroups
by: Lyman, F.N., et al.
Published: (2006)

On the norm of decomposable subgroups in nonperiodic groups
by: F. N. Liman, et al.
Published: (2015)

On the Norm of Decomposable Subgroups in Locally Finite Groups
by: F. N. Liman, et al.
Published: (2015)

On the Norm of Decomposable Subgroups in Locally Finite Groups
by: Lyman, F. N., et al.
Published: (2015)

Non-periodic locally soluble groups with non-Dedekind locally nilpotent norm of decomposable subgroups
by: Lyman, F. N., et al.
Published: (2026)

On Noncyclic Norm of Infinite Locally Finite Groups
by: Lukashova, T. D., et al.
Published: (2002)

On the norm of decomposable subgroups in nonperiodic groups
by: Liman, F. N., et al.
Published: (2015)

On the Norms of Law in General and Norms of Civil Law in Particular: Some Methodological Remarks
by: O. A. Khalabudenko
Published: (2016)

Quadratic residues of the norm group in sectorial domains
by: L. Balyas, et al.
Published: (2016)

Quadratic residues of the norm group in sectorial domains
by: Balyas, L., et al.
Published: (2016)

On infinite groups whose noncyclic norm has a finite index
by: Liman, F. N., et al.
Published: (1997)

Estimates of norms of generalized derivatives of the Dirichlet type kernels with arbitrary choice of harmonics
by: H. M. Vlasyk
Published: (2016)

Generalizations of Fox Homotopy Groups, Whitehead Products, and Gottlieb Groups
by: Golasinski, M., et al.
Published: (2005)

Serial group rings of finite groups. General linear and close groups
by: Kukharev, A., et al.
Published: (2015)

Serial group rings of finite groups. General linear and close groups
by: A. Kukharev, et al.
Published: (2015)

Order estimates of the Lq-norms of generalized derivatives of the Dirichlet-type kernels with an arbitrary choice of harmonics
by: H. M. Vlasyk
Published: (2017)

A generalization of groups with many almost normal subgroups
by: Russo, F.G.
Published: (2010)

Groups which are factorized in general
by: Lozben, T. M., et al.
Published: (1971)

Generalizations of Fox Homotopy Groups, Whitehead Products, and Gottlieb Groups
by: Golasinski, M., et al.
Published: (2005)

Groups with many generalized FC-subgroup
by: Russo, A., et al.
Published: (2009)

Order estimates of the $L_q$-norms of generalized derivatives of the Dirichlet-type kernels with an arbitrary choice of harmonics
by: Vlasyk, H. M., et al.
Published: (2017)

Serial group rings of finite groups. General linear and close groups
by: Kukharev, Andrei, et al.
Published: (2015)

On some generalization of metahamiltonian groups
by: Semko, N.N., et al.
Published: (2009)

On the Fourier transformation of the Hamming norm
by: Chernov , N. G., et al.
Published: (1992)

On Finite Groups with Permutable Generalized Subnormal Subgroups
by: V. F. Velesnitskij, et al.
Published: (2013)

On the dependence of the norm of a multiply monotone function on the norms of its derivatives
by: A. R. Bondarenko, et al.
Published: (2018)

On the dependence of the norm of a multiply monotone function on the norms of its derivatives
by: Bondarenko, A. R., et al.
Published: (2018)

On Groups with Minimality Condition for Noninvariant Abelian pd-Subgroups
by: Lyman, F. N., et al.
Published: (2005)

On Finite Groups with Permutable Generalized Subnormal Subgroups
by: Velesnitskii, V. F., et al.
Published: (2013)

Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants
by: Bogoslovsky, G.
Published: (2005)

A generalization of groups with many almost normal subgroups
by: Russo, Francesco G.
Published: (2018)

Groups with many generalized \(FC\)-subgroup
by: Russo, Alessio, et al.
Published: (2018)