Geodesic
On width of embedding of a semigroup into a group
Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 3, pp. 925-936.

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We consider the generalization of small cancellation theory when only long subwords of defining relators satisfy $C'(\lambda)$ condition. It is proved that a cell such that almost all edges are external exists in van Kampen's diagrams over this group. By this we construct an example of any finite width embedding of semigroup into a group. 
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     author = {A. V. Sanin},
     title = {On width of embedding of a semigroup into a group},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {925--936},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_3_a17/}
}
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A. V. Sanin. On width of embedding of a semigroup into a group. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 3, pp. 925-936. http://geodesic.mathdoc.fr/item/FPM_1997_3_3_a17/