The same order type A5 characterizing
نویسندگان
چکیده
This study examines the same-order type of G, suppose G be a finite group that α(G)=S_tt∈πe(G) and define nse(G) or α(G) is whose S_t number elements order t t∈π_e (G) π_e set G. If |G|=n in then we say α_n-group. Shin [1] showed every α_2-group nilpotent α_3-group solvable. In addition, structure such proved if an α_n-group |π(G)|≤n, conjectures researcher nonabelian simple group. proves group, has four only isomorphism with A_5. for any have S_p≠S_q odd prime divisors p q
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ژورنال
عنوان ژورنال: International journal of mathematics and statistics studies
سال: 2023
ISSN: ['2053-2210', '2053-2229']
DOI: https://doi.org/10.37745/ijmss.13/vol11n12329