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math.GT2026
Small Sets of Generators for Handlebody Groups
Tülin Altunöz, Celal Can Bellek, Emir Gül +2
Wajnryb gave a finite presentation of the handlebody group and showed that it is generated by five elements for . Using his relations, we show that $\ma…
math.GT2026
Small Torsion Topological Generators for Big Mapping Class Groups
Tülin Altunöz, Celal Can Bellek, Emir Gül +2
Let , for , be the infinite-type surface of infinite genus with ends, each accumulated by genus. Although the mapping class groups of these surfaces are…