Paz interior

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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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Literature on bilingualism and cognition is characterised by a large amount of conflicting evidence. In some studies, bilinguals perform better then monolinguals on executive tasks involving inhibition, monitoring and switching but are slower on tasks of lexical processing. Other studies don’t find any significant effects and challenge the very existence of cognitive differences between monolin...

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ژورنال

عنوان ژورنال: Arquivo Maaravi: Revista Digital de Estudos Judaicos da UFMG

سال: 2018

ISSN: 1982-3053

DOI: 10.17851/1982-3053.12.22.251-254