33 citations · 238 across the 41 of their papers we have counts for
6 papers · 1 filter
Classifying complements for groups. Applications
A. L. Agore, G. Militaru
Let be a subgroup of a group . An -complement of is a subgroup of such that and . The \emph{classifying complements problem…
Extending structures I: the level of groups
A. L. Agore, G. Militaru
Let be a group and a set such that . We shall describe and classify up to an isomorphism of groups that stabilizes the set of all group structures that c…
Schreier type theorems for bicrossed products
A. L. Agore, G. Militaru
We prove that the bicrossed product of two groups is a quotient of the pushout of two semidirect products. A matched pair of groups is deformed using a combinatorial…
Crossed Product of Cyclic Groups
Ana-Loredana Agore, Dragos Fratila
All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be…
Crossed product of groups. Applications
A. L. Agore, G. Militaru
We survey the extensions of a group by a group using crossed products instead of exact sequences of groups. The approach has various advantages, one of them being that the crossed…
Bicrossed products for finite groups
A. L. Agore, A. Chirvasitu, B. Ion +1
We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras,…