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Ramification structures for quotients of multi-EGS groups | ||
| International Journal of Group Theory | ||
| مقاله 3، دوره 12، شماره 4، اسفند 2023، صفحه 237-252 اصل مقاله (454.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2022.130522.1741 | ||
| نویسندگان | ||
| Elena Di Domenico* 1؛ Şükran Gül2؛ Anitha Thillaisundaram3 | ||
| 1Department of Mathematics, University of Trento, 38123, Trento, Italy - University of the Basque Country UPV/EHU, 48080, Bilbao, Spain | ||
| 2Department of Mathematics, TED University, 06420, Ankara, Turkey | ||
| 3Centre for Mathematical Sciences, Lund University, 223 62, Lund, Sweden | ||
| چکیده | ||
| Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification structure. Gül and Uria-Albizuri showed that quotients of the periodic Grigorchuk-Gupta-Sidki groups, GGS-groups for short, admit ramification structures. We extend their result by showing that quotients of generalisations of the GGS-groups, namely multi-EGS groups, also admit ramification structures. | ||
| کلیدواژه‌ها | ||
| Groups acting on rooted trees؛ finite p-groups؛ ramification structures | ||
| مراجع | ||
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