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Title: Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group
We show that a conjecture of Putman–Wieland, which posits the nonexistence of finite orbits for higher Prym representations of the mapping class group, is equivalent to the existence of surface-by-surface and surface-by-free groups which do not virtually algebraically fiber. While the question about the existence of such groups remains open, we will show that there exist free-by-free and free-by-surface groups which do not algebraically fiber (hence fail to be virtually RFRS)  more » « less
Award ID(s):
2005353
PAR ID:
10554939
Author(s) / Creator(s):
; ;
Publisher / Repository:
Elsevier
Date Published:
Journal Name:
Journal of algebra
Volume:
651
ISSN:
0021-8693
Page Range / eLocation ID:
1-18
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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