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Centralizers of gap groups

Toshio Sumi (2014)

Fundamenta Mathematicae

A finite group G is called a gap group if there exists an ℝG-module which has no large isotropy groups except at zero and satisfies the gap condition. The gap condition facilitates the process of equivariant surgery. Many groups are gap groups and also many groups are not. In this paper, we clarify the relation between a gap group and the structures of its centralizers. We show that a nonsolvable group which has a normal, odd prime power index proper subgroup is a gap group.

Classes caractéristiques réelles de certains G-fibrés vectorials et résidus.

Abdelhak Abouqateb (1998)

Publicacions Matemàtiques

This work is a contribution to study residues of real characteristic classes of vector bundles on which act compact Lie groups. By using the Cech-De Rham complex, the realisation of the usual Thom isomorphism permites us to illustrate localisation techniques of some topological invariants.

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