On the number of cyclic subgroups of a finite abelian group [PDF]
, 2012 László Tóth
openalex +1 more source
On Algebraic and Definable Closures for Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика"Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj +1 more source
Abelian Groups Which Contain No More Than 25 Proper Subgroups [PDF]
, 1940 G. A. Miller
openalex +1 more source
On directed strongly regular Cayley graphs over non-abelian groups with an abelian subgroup of index $2$ [PDF]
, 2022 Xueyi Huang, Lu Lu, Jongyook Park
openalex +1 more source
Large Abelian Subgroups of Finitep-Groups
Journal of Algebra, 1997 Let \(p\) be a prime and let \(G\) be a finite \(p\)-group. Let \(d(G)\) be the maximum of \(| A|\) as \(A\) ranges over the abelian subgroups of \(G\), and \({\mathcal A}(G)\) be the set of all abelian subgroups \(A\) for which \(| A|=d(G)\). Let \(B\) be an abelian subgroup of \(G\) normalized by \(A\) and \(B\) does not normalize \(A\).
openaire +1 more source
Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]
International Journal of Group Theory, 2016 A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
doaj
Permutation groups containing a regular abelian subgroup: the tangled\n history of two mistakes of Burnside [PDF]
, 2017 Mark Wildon
openalex +1 more source
Abelian groups that are direct summands of every abelian group which contains them as pure subgroups [PDF]
, 1957 J. Łoś
openalex +1 more source
Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
doaj
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 +1 more source