A NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11

Let G be a finite group , in this paper using the order and largest element order of G we show that every finite group with the same order and largest element order as G 2 (q), where q ⩽ 11 is necessarily isomorphic to the group G 2 (q)

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Veröffentlicht in:Journal of algebraic systems 2020-09, Vol.8 (1), p.103-111
Hauptverfasser: M. Bibak, Gh.R. Rezaeezadeh, E. Esmaeilzadeh
Format: Artikel
Sprache:eng
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Zusammenfassung:Let G be a finite group , in this paper using the order and largest element order of G we show that every finite group with the same order and largest element order as G 2 (q), where q ⩽ 11 is necessarily isomorphic to the group G 2 (q)
ISSN:2345-5128
2345-511X
DOI:10.22044/jas.2019.7696.1377