Weak Potency of Fundamental Groups of Graphs of Groups
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 2
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In this note we shall prove a characterization for the fundamental group of a graph of polycyclic-by-finite groups and free-by-finite groups with infinite cyclic edge subgroups to be weakly potent. We shall show also that all one-relator groups with non-trivial center are weakly potent.
Classification :
Primary: 20E06, 20E26 20E08; Secondary: 20F05.
@article{BMMS_2010_33_2_a7,
author = {P. C. Wong and C. K. Tang and H. W. Gan},
title = {Weak {Potency} of {Fundamental} {Groups} of {Graphs} of {Groups}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2010},
volume = {33},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_2_a7/}
}
P. C. Wong; C. K. Tang; H. W. Gan. Weak Potency of Fundamental Groups of Graphs of Groups. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2010_33_2_a7/