Centralizers of gap groups

Toshio Sumi. "Centralizers of gap groups." Fundamenta Mathematicae 226.2 (2014): 101-121. <http://eudml.org/doc/282656>.

@article{ToshioSumi2014,
abstract = {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.},
author = {Toshio Sumi},
journal = {Fundamenta Mathematicae},
keywords = {gap group; gap module; representation},
language = {eng},
number = {2},
pages = {101-121},
title = {Centralizers of gap groups},
url = {http://eudml.org/doc/282656},
volume = {226},
year = {2014},
}

TY - JOUR
AU - Toshio Sumi
TI - Centralizers of gap groups
JO - Fundamenta Mathematicae
PY - 2014
VL - 226
IS - 2
SP - 101
EP - 121
AB - 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.
LA - eng
KW - gap group; gap module; representation
UR - http://eudml.org/doc/282656
ER -