Raphael Greenberg, Emanuel Eisenberg, Sarit Paz, Itzhak Paz, Bet Ye
نویسندگان
چکیده
منابع مشابه
COUNTING SUBGROUPS OF Z/paZ× Z/pbZ
Fix a prime p. For nonnegative integers a, b, and d, we seek a formula for the number of subgroups of order pd in Z/paZ× Z/pbZ. Set Na,b,d = #{H ⊂ Z/pZ× Z/pZ : #H = p}. This is symmetric in a and b (Na,b,d = Nb,a,d), so when it is convenient we can limit attention to the case a ≤ b. Trivially Na,b,d = 0 if d > a + b, so we may assume 0 ≤ d ≤ a + b. For 1 ≤ a ≤ b, and a + b ≥ d, we will see that...
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ژورنال
عنوان ژورنال: Syria
سال: 2009
ISSN: 0039-7946,2076-8435
DOI: 10.4000/syria.572