Results 11 to 20 of about 11,420 (266)
On finite 2-Groups with the non-Dedekind metacyclic norm of Abelian non-cyclic subgroups [PDF]
Advances in Group Theory and Applications, 2021 Tetiana D. Lukashova, Fedir M. Lyman
doaj +2 more sources
On isotype subgroups of abelian groups [PDF]
Bulletin de la Société mathématique de France, 1961 J. Irwin, E. Walker
semanticscholar +2 more sources
Tame logarithmic signatures of abelian groups
Journal of Mathematical Cryptology, 2017 The security of the asymmetric cryptosystem MST1{{}_{1}} relies on the hardness of factoring group elements with respect to a logarithmic signature. In this paper we investigate the factorization problem with respect to logarithmic signatures of abelian ...
Reichl Dominik
doaj +2 more sources
SYLOW p-SUBGROUPS OF ABELIAN GROUP RINGS
, 2003 Let \(KG\) be the group ring of an Abelian group \(G\) over a commutative ring \(K\) and let \(V(KG)\) be the group of normalized units (i.e. the group of augmentation 1) in \(KG\). In the paper some group-theoretic properties of the \(p\)-component \(S(KG)\) of \(V(KG)\) are proved when either (i) \(K\) is a ring of prime characteristic \(p\) or (ii) \
Peter Danchev
openalex +4 more sources
On infinite anticommutative groups [PDF]
International Journal of Group Theory, 2023 We completely describe the structure of locally (soluble-by-finite) groups in which all abelian subgroups are locally cyclic. Moreover, we prove that Engel groups with the above property are locally nilpotent.
Costantino Delizia, Chiara Nicotera
doaj +1 more source
Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups
Karpatsʹkì Matematičnì Publìkacìï, 2022 The authors study relations between the properties of torsion locally nilpotent groups and their norms of Abelian non-cyclic subgroups. The impact of the norm of Abelian non-cyclic subgroups on the properties of the group under the condition of norm non ...
T.D. Lukashova, M.G. Drushlyak
doaj +1 more source
Abelian Subgroups of Topological Groups [PDF]
Transactions of the American Mathematical Society, 1984 In [1] Šmidt’s conjecture on the existence of an infinite abelian subgroup in any infinite group is settled by counterexample. The well-known Hall-Kulatilaka Theorem asserts the existence of an infinite abelian subgroup in any infinite locally finite group. This paper discusses a topological analogue of the problem.
Grosser, Siegfried K. +1 more
openaire +1 more source
Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]
Advances in Group Theory and Applications, 2016 It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
doaj +1 more source
Non-periodic groups with the restrictions on the norm of cyclic subgroups of non-prime order
Математичні Студії, 2022 One of the main directions in group theory is the study of the impact of characteristic subgroups on the structure of the whole group. Such characteristic subgroups include different $\Sigma$-norms of a group.
M. Drushlyak, T. Lukashova
doaj +1 more source
On the Structure of Groups whose Non-Abelian Subgroups are Serial [PDF]
Advances in Group Theory and Applications, 2016 Necessary and sufficient conditions are given for a locally finite group to have all non-abelian subgroups serial. We also obtain results for groups whose non-abelian subgroups are permutable.
M.R. Dixon, L.A. Kurdachenko, N.N. Semko
doaj +1 more source