Group actions on spheres with rank one isotropy
Authors:
Ian Hambleton and Ergün Yalçın
Journal:
Trans. Amer. Math. Soc. 368 (2016), 5951-5977
MSC (2010):
Primary 20J05, 55U15, 57S17, 18Gxx
DOI:
https://doi.org/10.1090/tran/6567
Published electronically:
October 20, 2015
MathSciNet review:
3458403
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: Let be a rank two finite group, and let
denote the family of all rank one
-subgroups of
for which
. We show that a rank two finite group
which satisfies certain explicit group-theoretic conditions admits a finite
-CW-complex
with isotropy in
, whose fixed sets are homotopy spheres. Our construction provides an infinite family of new non-linear
-CW-complex examples.
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Additional Information
Ian Hambleton
Affiliation:
Department of Mathematics, McMaster University, Hamilton, Ontario L8S 4K1, Canada
Email:
hambleton@mcmaster.ca
Ergün Yalçın
Affiliation:
Department of Mathematics, Bilkent University, 06800 Bilkent, Ankara, Turkey
Email:
yalcine@fen.bilkent.edu.tr
DOI:
https://doi.org/10.1090/tran/6567
Received by editor(s):
April 9, 2014
Received by editor(s) in revised form:
September 17, 2014, and December 14, 2014
Published electronically:
October 20, 2015
Additional Notes:
This research was partially supported by NSERC Discovery Grant A4000. The second author was partially supported by TÜBİTAK-TBAG/110T712.
Article copyright:
© Copyright 2015
American Mathematical Society