Centralizers of gap groups
Fundamenta Mathematicae, Tome 226 (2014) no. 2, pp. 101-121
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
A finite group $G$ is called a gap group if there exists an $\mathbb {R}G$-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.
Keywords:
finite group called gap group there exists mathbb g module which has large isotropy groups except zero satisfies gap condition gap condition facilitates process equivariant surgery many groups gap groups many groups paper clarify relation between gap group structures its centralizers nonsolvable group which has normal odd prime power index proper subgroup gap group
Affiliations des auteurs :
Toshio Sumi 1
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author = {Toshio Sumi},
title = {Centralizers of gap groups},
journal = {Fundamenta Mathematicae},
pages = {101--121},
publisher = {mathdoc},
volume = {226},
number = {2},
year = {2014},
doi = {10.4064/fm226-2-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm226-2-1/}
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Toshio Sumi. Centralizers of gap groups. Fundamenta Mathematicae, Tome 226 (2014) no. 2, pp. 101-121. doi: 10.4064/fm226-2-1
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