منابع مشابه
q-ANALOGUES OF EULER’S ODD=DISTINCT THEOREM
Two q-analogues of Euler’s theorem on integer partitions with odd or distinct parts are given. A q-lecture hall theorem is given.
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Let x be an element of prime order, p, in a finite group, G, and let P be a p-Sylow subgroup of G containing x. Say that x satisfies the unique conjugacy condition (u.c.c.) relative to G and the p-Sylow subgroup P if x is not conjugate in G to any other element of P. Let 02'(G) denote the largest normal subgroup of G oi odd order. Define the subgroup Z*(G) by the equation Z*(G)/0v(G)=Z(G/0v(G))...
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Using a-tetralone, as starting material, a series of phencyclidine analogues were synthesized. This ketone was reacted separately with ethylmagnesium bromide, P-methoxyphenylmagnesium bromide and P-methylphenylmagnesium bromide. The resultant alcohols were treated with a suspension of NaN3 and CCl3COOH in CHCl3. The azides were subsequently...
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Let G be a transitive group of permutations of a finite set Ω, and suppose that some element of G has at most two orbits on Ω. We prove that any two maximal chains of groups between G and a point-stabilizer of G have the same length, and the same sequence of relative indices between consecutive groups (up to permutation). We also deduce the same conclusion when G has a transitive quasi-Hamilton...
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Abstract. We prove a q-analogue of the Carter–Payne theorem for the two special cases corresponding to moving an arbitrary number of nodes between adjacent rows, or moving one node between an arbitrary number of rows. As a consequence, we show that these homomorphism spaces are one dimensional when q 6= −1. We apply these results to complete the classification of the reducible Specht modules fo...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2017
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.09.004