This article is available for purchase or by subscription. See below.
Abstract
|
We show that the equation associated with a group word
can be solved over
a hyperlinear group
if its content — that is, its augmentation in
— does
not lie in the second term of the lower central series of
. Moreover,
if
is finite, then a solution can be found in a finite extension of
. The method
of proof extends techniques developed by Gerstenhaber and Rothaus, and uses computations
in
–local
homotopy theory and cohomology of compact Lie groups.
|
PDF Access Denied
However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt
We have not been able to recognize your IP address
18.206.177.17
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
equations over groups, cohomology of Lie groups
|
Mathematical Subject Classification 2010
Primary: 22C05, 20F70
|
Publication
Received: 8 December 2015
Revised: 23 March 2016
Accepted: 27 May 2016
Published: 26 January 2017
|
|