2007/03/31 by A. L. Agore, A. Chirvasitu, Alexandru Chirvăsitu +3 · 23 citations
Chemistry · Computer Science · Mathematics · #Abelian group #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Chemistry #Coding theory and cryptography #Combinatorics #Cyclic group #Finite Group Theory Research #Finite group #Group (periodic table) #Hopf algebra #Isomorphism (crystallography) #Mathematics #Order (exchange) #Prime (order theory) #Pure mathematics #math.GR #math.RA #msc:20B05 #msc:20B35 #msc:20D06 #msc:20D40
paper · pdf · doi:10.1007/s10468-009-9145-6
published in Algebras and Representation Theory 12(2-5), 481-488 (Springer Science+Business Media) · Final version: to appear in Algebras and Representation Theory
openalex publication_date 2009/03/02 · arxiv created 2009/03/13 · arxiv updated 2014/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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, Hopf algebras). The problem is to classify the groups that can be written as bicrossed products between groups of fixed isomorphism types. The groups obtained as bicrossed products of two finite cyclic groups, one being of prime order, are described.