ON THE GROUP (C3 C3)/C2 AND ULTRA-GROUPOVER IT
Publish place: کنفرانس بین المللی پژوهش در علوم و مهندسی
Publish Year: 1395
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICRSIE01_390
تاریخ نمایه سازی: 25 آذر 1395
Abstract:
In the present paper, we investigate one of the non-abelian groups of order 18 with representation (C3 C3) / C2. At rst we describe all subgroups and automorphisms of this group.Then we use this result for the main goal where is the determiningall ultra-groups of order 3 arising from this group up to isomor-phism. Finally we indicate what of this ultra-groups is a group.
Keywords:
Semidirect product , automorphism , transversal , ultra-group.2000 Mathematics Subject Classi cation: 20D45 , 16B50 , 20A05
Authors
PARVANEH ZOLFAGHARI
Department of Pure Mathematics, Farhangian University, Mashhad, Iran.