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Groups with numerical restrictions on minimal generating sets | ||
International Journal of Group Theory | ||
مقاله 4، دوره 9، شماره 2، شهریور 2020، صفحه 95-111 اصل مقاله (242.17 K) | ||
نوع مقاله: Ischia Group Theory 2018 | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2019.115131.1526 | ||
نویسندگان | ||
Leonid A Kurdachenko1؛ Patrizia Longobardi2؛ Mercede Maj* 3 | ||
1National University of Dnipro | ||
2Dipartimento di Matematica Universita' di Salerno | ||
3University of Salerno | ||
چکیده | ||
We study an inverse problem of small doubling type. We investigate the structure of a finitely generated group $G$ such that, for any set $S$ of generators of $G$ of minimal order, we have $S^2 ≤ 3|S|-ß$, where $ß ∈ {1, 2, 3}$ | ||
کلیدواژهها | ||
Small doubling؛ minimal generating subsets؛ inverse problems | ||
مراجع | ||
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