Displaying similar documents to “Kikkawa loops and homogeneous loops”

Relatives of K-loops: Theory and examples

Hubert Kiechle (2000)

Commentationes Mathematicae Universitatis Carolinae

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A or is a Bol loop with the automorphic inverse property. An overview of the most important theorems on K-loops and some of their relatives, especially Kikkawa loops, is given. First, left power alternative loops are discussed, then Kikkawa loops are considered. In particular, their nuclei are determined. Then the attention is paid to general K-loops and some special classes of K-loops such as 2-divisible ones. To construct examples, the method of is introduced. This has been used...

Infinite simple Bol loops

Hubert Kiechle, Michael K. Kinyon (2004)

Commentationes Mathematicae Universitatis Carolinae

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If the left multiplication group of a loop is simple, then the loop is simple. We use this observation to give examples of infinite simple Bol loops.