Cover Image

Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups

Nonuniqueness of semidirect decompositions of groups is an insufficiently studied question in contrast to direct decompositions. We obtain some results about semidirect decompositions for semidirect products with factors which are nontrivial direct products. We deal with a special case of semidirect...

Full description

Saved in:

Bibliographic Details
Date:	2017
Main Author:	Daugulis, Peteris
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2017
Subjects:	semidirect product direct product diagonal action generalized dihedral group 20E22 20D40
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/215
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Similar Items

A note on semidirect products and nonabelian tensor products of groups
by: Nakaoka, Irene N., et al.
Published: (2018)

Groupoids: Direct products, semidirect products and solvability
by: Marín, V., et al.
Published: (2022)

The structure of automorphism groups of semigroup inflations
by: Kudryavtseva, Ganna
Published: (2018)

Maximal subgroup growth of a few polycyclic groups
by: Kelley, A., et al.
Published: (2022)

On the semigroup of monoid endomorphisms of the semigroup \(\mathscr{C}_{+}(a,b)\)
by: Gutik, Oleg, et al.
Published: (2025)

Semisimple group codes and dihedral codes
by: Dutra, Flaviana S., et al.
Published: (2018)

On Kaluzhnin-Krasner’s embedding of groups
by: Olshanskii, A. Yu.
Published: (2018)

A geometrical interpretation of infinite wreath powers
by: Mikaelian, Vahagn H.
Published: (2018)

The action of Sylow 2-subgroups of symmetric groups on the set of bases and the problem of isomorphism of their Cayley graphs
by: Pawlik, Bartłomiej Tadeusz
Published: (2016)

Infinitely iterated wreath products of metric spaces
by: Oliynyk, Bogdana
Published: (2018)

A survey on pairwise mutually permutable products of finite groups
by: Ballester-Bolinches, A., et al.
Published: (2018)

On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field
by: Leshchenko, Yuriy Yu., et al.
Published: (2018)

Free products of semigroups defined by automata
by: Kochubinska, Eugenia, et al.
Published: (2025)

Kaluzhnin's representations of Sylow \(p\)-subgroups of automorphism groups of \(p\)-adic rooted trees
by: Bier, Agnieszka, et al.
Published: (2018)

Finite automaton actions of free products of groups
by: Fedorova, Mariia, et al.
Published: (2017)

Connectivity and planarity of power graphs of finite cyclic, dihedral and dicyclic groups
by: Chattopadhyay, Sriparna, et al.
Published: (2018)

A sequence of factorizable subgroups
by: Dabbaghian, Vahid
Published: (2018)

Groups of linear automata
by: Oliynyk, Andriy
Published: (2018)

Finite groups as groups of automata with no cycles with exit
by: Russyev, Andriy
Published: (2018)

Algebra in the Stone-\(\check{C}\)ech compactification: applications to topologies on groups
by: Protasov, I. V.
Published: (2018)

Partial Hopf actions, partial invariants and a Morita context
by: Alves, Marcelo Muniz S., et al.
Published: (2018)

Computing bounds for the general sum-connectivity index of some graph operations
by: Akhter, S., et al.
Published: (2020)

Digital Program Control and Complex Component Processing in Performance-Driven Production Engineering
by: Petrova, Desislava, et al.
Published: (2025)

S. N. Chernikov and the development of infinite group theory
by: Dixon, M. R., et al.
Published: (2018)

Symmetries of automata
by: Egri-Nagy, Attila, et al.
Published: (2018)

On the spectrum of Cayley graphs
by: Ghorbani, M., et al.
Published: (2021)

Modeling and visualizing maximum multi-product flows in the networks
by: Dodonov, E. О., et al.
Published: (2018)

Nonequilibrium fluid filtration in a heterogeneously contaminated near-wellbore zone
by: Denysiuk, I.I., et al.
Published: (2025)

Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees
by: Lavrenyuk, Yaroslav V., et al.
Published: (2018)

On the group of extensions for the bicrossed product construction for a locally compact group
by: Chapovsky, Yu. A., et al.
Published: (2018)

The center of the wreath product of symmetric group algebras
by: Tout, O.
Published: (2021)

Generalised triangle groups of type \((3,q,2)\)
by: Howie, James
Published: (2018)

Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order
by: Asaad, M., et al.
Published: (2018)

On Baer-Shemetkov’s decomposition in modules and related topics
by: Kirichenko, V. V., et al.
Published: (2018)

Abnormal subgroups and Carter subgroups in some infinite groups
by: Kurdachenko, L. A., et al.
Published: (2018)

THEORETICAL FOUNDATION FOR CALCULATION OF FLUID SYSTEMS IN THE SUBSURFACE CONTAMINATED WITH LIGHT PETROLEUM PRODUCTS DURING GROUNDWATER FLUCTUATION Paper 2. Theoretical foundation for calculation “light petroleum products – water” two-phase systems in porous media
by: Ognianik, N.S., et al.
Published: (2016)

Partial actions and automata
by: Dokuchaev, M., et al.
Published: (2018)

ILMENITE CONTENT OF THE DIFFERENT AGE LITHOFACIES FROM THE POROMIVSKE DEPOSIT PRODUCTIVE LAYER
by: Ганжа, О.А., et al.
Published: (2025)

On arrangement of subgroups in groups and related topics: some recent developments
by: Subbotin, I. Ya.
Published: (2018)

RESEARCH OF BIODEGRADATION EFFECT ON GROUNDWATER CONTAMINATION WITH PETROLEUM PRODUCTS USING MATHEMATICAL MODELING
by: Shpak, E.N.
Published: (2015)