Small doubling in $m$-Engel groups
Publish place: International Journal of Group Theory، Vol: 9، Issue: 4
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_THEGR-9-4_005
تاریخ نمایه سازی: 14 اردیبهشت 1400
Abstract:
We study some inverse problems of small doubling type in the class of $m$-Engel groups. In particular we investigate the structure of a finite subset $S$ of a torsion-free $m$-Engel group if $|S^۲| = ۲|S|+b$, where $۰ \leq b \leq |S|-۴$, for some values of $b$.
Keywords:
Direct and inverse problems. Small doubling
Authors
Patrizia Longobardi
Department of Mathematics, University of Salerno
Mercede Maj
University of Salerno