منابع مشابه
COMPUTATIONAL RESULTS ON FINITE P-GROUPS OF EXPONENT P2
The Fibonacci lengths of the finite p-groups have been studied by R. Dikici and co-authors since 1992. All of the considered groups are of exponent p, and the lengths depend on the celebrated Wall number k(p). The study of p-groups of nilpotency class 3 and exponent p has been done in 2004 by R. Dikici as well. In this paper we study all of the p-groups of nilpotency class 3 and exponent p2. Th...
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The GrossPKoblitz formula and a formula of Diamond are used to prove the congruence (p a prime number = I (mod 4). p = a'+ h' (a, b E Z. a = 1 (mod 4))), proposed by F. Beukers which refines the well-known congruence A = 2a (modp) for the binomial coeflicient A= I(" 1986 Academic Press. Inc Let p be a rational prime, p = 1 mod 4. Then p is a sum of squares of integers p = a2 + b2, (1) where a i...
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phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...
15 صفحه اولDirect sums of mod p characters of Gal(Q̄/Q) and the homology of GLn(Z)
We prove the following theorem: Let F be an algebraic closure of a finite field of characteristic p. If ρ is a continuous homomorphism from the absolute Galois group of Q to GLn(F) which is isomorphic to a direct sum of one-dimensional representations, and if p > n+1 and the conductors of the one-dimensional representations are pairwise relatively prime, and if a certain parity condition holds,...
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We develop a rigorous second order analysis on the space of probability measures on a Riemannian manifold M endowed with the quadratic optimal transport distance W2. Our discussion comprehends: definition of covariant derivative, discussion of the problem of existence of parallel transport, calculus of the Riemannian curvature tensor, differentiability of the exponential map and existence of Ja...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1999
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-87-3-245-253