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| Fixed Subgroups are not Compressed in Direct Products of Surface Groups |
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Citation： |
Qiang ZHANG,Jianchun WU,Fanling GU.Fixed Subgroups are not Compressed in Direct Products of Surface Groups[J].Chinese Annals of Mathematics B,2024,45(5):703~708 |
| Page view： 100
Net amount： 50 |
Authors： |
Qiang ZHANG; Jianchun WU;Fanling GU |
Foundation： |
the National Natural Science Foundation of China (Nos. 12271385,
12471066) and the Shaanxi Fundamental Science Research Project for Mathematics and Physics (No.
23JSY027) |
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| Abstract： |
By constructing counterexamples, the authors show that the fixed subgroups are
not compressed in direct products of free and surface groups, and hence negate a conjecture
in [Zhang, Q., Ventura, E. and J. Wu, Fixed subgroups are compressed in surface groups,
Internat. J. Algebra Comput., 25, 2015, 865–887]. |
Keywords： |
Fixed subgroup, Free group, Surface group, Direct product, Inertia,
Compression |
Classification： |
20F65, 20F34, 57M07 |
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