Centralizers of gap groups

• Autorzy: Toshio Sumi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 20C15: Ordinary representations and characters
• 57S17: Finite transformation groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 226
• Numer: 2
• Strony: 101-121

Daty

wydano

2014

Twórcy

autor

Toshio Sumi

• Faculty of Arts and Science, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan

Identyfikatory

DOI

10.4064/fm226-2-1