Group implies G-loop

From Groupprops
Jump to: navigation, search
This article gives the statement and possibly, proof, of an implication relation between two algebra loop properties. That is, it states that every algebra loop satisfying the first algebra loop property (i.e., group) must also satisfy the second algebra loop property (i.e., G-loop)
View all algebra loop property implications | View all algebra loop property non-implications
Get more facts about group|Get more facts about G-loop


A group is a G-loop. In other words, if a group and an Algebra loop (?) are isotopic, then the algebra loop is also a group and the two groups are isomorphic.

Related facts