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On non-isomorphic groups with the same set of order components

Mohammad Reza Darafsheh
대한수학회 (The Korean Mathematical Society)|2008.01|대한수학회지 (Journal of the KMS)|제45권 제1호|pp. 137-150

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참고문헌

키워드

prime graphorder componentlinear group
주제분류수학

초록

In this paper we will prove that the simple groups Bp(3) and Cp(3), p an odd prime number, are 2-recognizable by the set of their order components. More precisely we will prove that if G is a finite group and OC(G) denotes the set of order components of G, then OC(G) = OC(Bp(3)) if and only if G = Bp(3) or Cp(3)

Abstract

In this paper we will prove that the simple groups Bp(3) and Cp(3), p an odd prime number, are 2-recognizable by the set of their order components. More precisely we will prove that if G is a finite group and OC(G) denotes the set of order components of G, then OC(G) = OC(Bp(3)) if and only if G = Bp(3) or Cp(3)

참고문헌 (19)

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관련 논문AI추천

CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTSMohammad Reza Darafsheh대한수학회 · 대한수학회지2010 · 제47권 제2호FINITE p-GROUPS WHOSE NON-ABELIAN SUBGROUPS HAVE THE SAME CENTERLifang Wang대한수학회 · 대한수학회지2017 · 제54권 제4호Finite $p$-groups whose normal closures of non-normal subgroups have two ordersLifang Wang대한수학회 · 대한수학회지2022 · 제59권 제4호Finite groups which have many normal subgroupsHaipeng Qu, Mingyao Xu, Qinhai Zhang, Xiaoqiang Guo대한수학회 · 대한수학회지2009 · 제46권 제6호Characterization of suzuki group by nse and order of groupAbolfazl Tehranian, Ali Iranmanesh, Hosein Parvizi Mosaed대한수학회 · 대한수학회보2016 · 제53권 제3호On finite barely non-abelian $p$-groupsDongSeung Kang대한수학회 · 대한수학회보2016 · 제53권 제5호

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