On total multiplication groups.
Keywords:
Quasigroup, loop, multiplication group, total multiplication group, middle Bol loopAbstract
The concept of multiplication group was introduced by Albert in the middle of the 20th century and at present is a standard tool in the algebraic quasigroup (loop) theory.
References
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D. Stanovsky, P. Vojtechovsky, Commutator theory for loops, Journal of Algebra 399 (2014), 290–322.
P. Syrbu, On a generalization of the inner mapping group, Proceed. of the 4th Conf. of Math. Society of the Rep. of Moldova (2017), 161–164.
V. Shcherbacov, Elements of Quasigroup Theory and Applications, Francis Group, CRC Press, Boca Raton, London, New York, 2017.
