Mathematics – Group Theory
Scientific paper
2009-09-06
Mathematics
Group Theory
23 pages 8 tables
Scientific paper
The NAFIL is a finite loop in which every element has a unique (two-sided)inverse. NAFIL loops can be classified into two types: composite (with at least one non-trivial subsystem) and non-composite or plain (without any non-trivial subsystem). This paper deals with the structure of these loops. In particular we shall introduce an important class of composite NAFIL loops called block products.
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