On Smarandache Bryant Schneider group of a Smarandache loop

Details On Smarandache Bryant Schneider group of a Smarandache loop On Smarandache Bryant Schneider group of a Smarandache loop

2008-05-05

arxiv.org/abs/0805.0367v2

International Journal of Mathematical Combinatorics, Vol. 2(2008), 51-63

Mathematics

General Mathematics

14 pages

Scientific paper

The concept of Smarandache Bryant Schneider Group of a Smarandache loop is introduced. Relationship(s) between the Bryant Schneider Group and the Smarandache Bryant Schneider Group of an S-loop are discovered and the later is found to be useful in finding Smarandache isotopy-isomorphy condition(s) in S-loops just like the formal is useful in finding isotopy-isomorphy condition(s) in loops. Some properties of the Bryant Schneider Group of a loop are shown to be true for the Smarandache Bryant Schneider Group of a Smarandache loop. Some interesting and useful cardinality formulas are also established for a type of finite Smarandache loop.

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