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Transversals in groups. 3.Semidirect product of a transversal operation and subgrouop
Authors: Cuzneţov Eugeniu
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Abstract
The investigation of transversals in groups beginned in [6, 7] is continued in a present article. The main aim of this article is a demonstration of a natural way of a construction of a semidirect product of a left quasigroup with two-sided unit and some group by the help of transversals.Cuzneţov E.A. Ph.D.
Institute of Mathematics and Computer Science,
Academy of Sciences of Moldova,
str. Academiei 5,
MD-2028 Chishinau,
MOLDOVA,
E-mail:
Institute of Mathematics and Computer Science,
Academy of Sciences of Moldova,
str. Academiei 5,
MD-2028 Chishinau,
MOLDOVA,
E-mail:
Fulltext
– 0.18 Mb
Contents
- On B-algebras and quasigroups
- Non-associative algebraic system in cryptology. Protection against "meet in the middle" attack
- On some old and new problems in n-ary groups
- Transversals in groups. 3.Semidirect product of a transversal operation and subgrouop
- Subtree-counting loops
- On quadratic B-algebras
- Algebras of vector-valued functions
- Representations of positional algebras
- The abstract groups (3, 3 | 3, p), their subgroup structure, and their significance for Paige loops
