Geodesic
Surgery of closed manifolds with dihedral fundamental group
Matematičeskie zametki, Tome 64 (1998) no. 2, pp. 238-250

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In the paper the obstruction groups to obtaining simple homotopy equivalence by surgery from normal degree 1 maps of closed manifolds with dihedral fundamental group are computed. The cases of trivial orientation for the dihedral group and nontrivial orientation for the order 2 cyclic subgroup are considered. New results concerning the Browder–Livesey groups and natural maps of $L$-groups arising in index 2 inclusions of the cyclic group into the dihedral group are obtained. 
@article{MZM_1998_64_2_a10,
     author = {Yu. V. Muranov and D. Repov\v{s}},
     title = {Surgery of closed manifolds with dihedral fundamental group},
     journal = {Matemati\v{c}eskie zametki},
     pages = {238--250},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_2_a10/}
}
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Yu. V. Muranov; D. Repovš. Surgery of closed manifolds with dihedral fundamental group. Matematičeskie zametki, Tome 64 (1998) no. 2, pp. 238-250. http://geodesic.mathdoc.fr/item/MZM_1998_64_2_a10/