منابع مشابه
Masters Examination in Mathematics
Solution. The prime factorization of 185 is 5*37. Given a group of order 185, Let n5 be the number of subgroups of order 5 and n37 the number of subgroups of order 37. Since subgroups of order 5 and 37 will be Sylow subgroups, by the Sylow Theorems n5 and n37 have to be 1 (mod 5) and 1 (mod 37), respectively and divide 37 and 5, respectively. Hence, n5 = n37 = 1 and the 5 and 37 Sylow subgroups...
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ژورنال
عنوان ژورنال: EccoS – Revista Científica
سال: 2015
ISSN: 1983-9278,1517-1949
DOI: 10.5585/eccos.n37.6213