Akademik Veri Yönetim Sistemi
Turkish Journal of Mathematics, cilt.48, sa.6, ss.1024-1034, 2024 (SCI-Expanded)
In this paper, we introduce exterior isoclinism for crossed modules, extending the concept of isoclinism from groups to these 2-dimensional algebraic structures. Motivated by work on tensor and exterior products of nonabelian groups, we utilize nonabelian exterior products, exterior squares, and exterior centers to define this new equivalence relation. Additionally, we provide computational tools implemented in the GAPsystem to identify exterior isoclinism families of small groups and crossed modules.