Holomorphy of Osborn loops
Let (L, ·) be any loop and let A(L) be a group of automorphisms of (L, ·) such that α and φ are elements of A(L). It is shown that, for all x, y, z ∈ L, the A(L)-holomorph (H, ○) = H(L) of (L, ·) is an Osborn loop if and only if xα(yz · xφ−1) = xα(yxλ · x) · zxφ−1. Furthermore, it is shown that for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2015-12-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/awutm-2015-0016 |