Geodesic
On the properties of the cobordism group of stably-framed immersions in codimension~$k$
Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 26-36

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The notion “intermediate bordism group”, which was introduced by P. J. Eccles to investigate filtrations in stable homotopy group of spheres, is considered. А new notion “cobordism groups of stable-framed immersions” is introduced. The classifying space for the new groups is constructed, ranks of the groups are calculated. Hopf invariants and the Kahn-Priddy homomorphism are generalized for cobordism groups of stable-framed immersions.
Keywords: stable homotopy groups of spheres, immersion. 
@article{CHEB_2020_21_2_a3,
     author = {P. M. Akhmet'ev},
     title = {On the properties of the cobordism group of stably-framed immersions in codimension~$k$},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {26--36},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a3/}
}
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P. M. Akhmet'ev. On the properties of the cobordism group of stably-framed immersions in codimension~$k$. Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 26-36. http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a3/