Geodesic
Identities and the group of isostrophisms
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 347-374

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In this paper we reexamine the concept of isostrophy. We connect it to the notion of term equivalence, and describe the action of dihedral groups that are associated with loops by means of isostrophy. We also use it to prove and present in a new way some well known facts on $m$-inverse loops and middle Bol loops.
In this paper we reexamine the concept of isostrophy. We connect it to the notion of term equivalence, and describe the action of dihedral groups that are associated with loops by means of isostrophy. We also use it to prove and present in a new way some well known facts on $m$-inverse loops and middle Bol loops.
Classification : 15A30, 20N05
Keywords: isostrophe; isostrophism; paratope; paratopism; middle Bol 
Drápal, Aleš; Shcherbacov, Victor. Identities and the group of isostrophisms. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 3, pp. 347-374. http://geodesic.mathdoc.fr/item/CMUC_2012_53_3_a2/
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     title = {Identities and the group of isostrophisms},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {347--374},
     year = {2012},
     volume = {53},
     number = {3},
     mrnumber = {3017835},
     zbl = {1258.20056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2012_53_3_a2/}
}
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