Geodesic
Normal Subloops in the Integral Loop Ring of an RA Loop
Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 27-35

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DOI

We show that an $\text{RA}$ loop has a torsion-free normal complement in the loop of normalized units of its integral loop ring. We also investigate whether an $\text{RA}$ loop can be normal in its unit loop. Over fields, this can never happen.
DOI : 10.4153/CMB-2001-005-7
Mots-clés : 20N05, 17D05, 16S34, 16U60 
Goodaire, Edgar G.; Milies, César Polcino. Normal Subloops in the Integral Loop Ring of an RA Loop. Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 27-35. doi: 10.4153/CMB-2001-005-7
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     author = {Goodaire, Edgar G. and Milies, C\'esar Polcino},
     title = {Normal {Subloops} in the {Integral} {Loop} {Ring} of an {RA} {Loop}},
     journal = {Canadian mathematical bulletin},
     pages = {27--35},
     year = {2001},
     volume = {44},
     number = {1},
     doi = {10.4153/CMB-2001-005-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-005-7/}
}
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