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Bol-loops of order \(3\cdot 2^n\). (English) Zbl 1143.20046

Summary: We construct proper Bol-loops of order \(3\cdot 2^n\) using a generalisation of the semidirect product of groups defined by G. F. Birkenmeier and S. Xiao [Commun. Algebra 23, No. 1, 81-95 (1995; Zbl 0821.20059)]. Moreover we classify the obtained loops up to isomorphism.

MSC:

20N05 Loops, quasigroups

Citations:

Zbl 0821.20059
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References:

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