Minimal embeddings of small finite groups

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_THEGR-9-3_003

تاریخ نمایه سازی: 14 اردیبهشت 1400

Abstract:

We determine the groups of minimal order in which all groups of order $n$ can embedded for $ ۱ \le n \le ۱۵$‎. ‎We further determine the minimal order of a group in which all groups of order $n$ or less can be embedded‎, ‎also for $ ۱ \le n \le ۱۵$‎.

Authors

Robert Heffernan

Department of Mathematics, Cork Institute of Technology, Bishopstown, Cork, Ireland.

Brendan McCann

Department of Computing and Mathematics, Waterford Institute of Technology, Waterford, Ireland