Projective splitting obstruction groups for one-sided submanifolds
Sbornik. Mathematics, Tome 190 (1999) no. 10, pp. 1465-1485
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A geometric diagram of groups, which consists of groups equipped with geometric antistructures, is a natural generalization of the square of fundamental groups arising in the splitting problem for a one-sided submanifold. In the present paper the groups $LS_*$ and $LP_*$ of such diagrams are defined and the properties of these groups are described. Methods for the computation of $LS_*^p$, $LP_*^p$-groups and natural maps in diagrams of exact sequences are developed in the case of a geometric diagram of finite 2-groups.
@article{SM_1999_190_10_a3,
author = {Yu. V. Muranov and I. Hambleton},
title = {Projective splitting obstruction groups for one-sided submanifolds},
journal = {Sbornik. Mathematics},
pages = {1465--1485},
publisher = {mathdoc},
volume = {190},
number = {10},
year = {1999},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1999_190_10_a3/}
}
Yu. V. Muranov; I. Hambleton. Projective splitting obstruction groups for one-sided submanifolds. Sbornik. Mathematics, Tome 190 (1999) no. 10, pp. 1465-1485. http://geodesic.mathdoc.fr/item/SM_1999_190_10_a3/