Geodesic
The Groups $LS$ and Morphisms of Quadratic Extensions
Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 419-424

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For a morphism of quadratic extensions of antistructures, groups similar to the groups of obstructions to splitting along one-sided submanifolds are defined. These groups are a natural generalization of the splitting obstruction groups. The results obtained open additional possibilities for constructing groups and natural maps in $L$-theory. 
@article{MZM_2001_70_3_a8,
     author = {Yu. V. Muranov and D. Repov\v{s}},
     title = {The {Groups} $LS$ and {Morphisms} of {Quadratic} {Extensions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {419--424},
     publisher = {mathdoc},
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     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a8/}
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Yu. V. Muranov; D. Repovš. The Groups $LS$ and Morphisms of Quadratic Extensions. Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 419-424. http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a8/