منابع مشابه
Peiffer Elements in Simplicial Groups and Algebras
The main objectives of this paper are to give general proofs of the following two facts: A. For an operad O in Ab, let A be a simplicial O-algebra such that Am is the O-subalgebra generated by ( ∑m i=0 si(Am−1)), for every n, and let NA be the Moore complex of A. Then d(NmA) = ∑
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The Peiffer product of groups first arose in work of J.H.C. Whitehead on the structure of relative homotopy groups, and is closely related to problems of asphericity for two-complexes. We develop algebraic methods for computing the second integral homology of a Peiffer product. We show that a Peiffer product of superperfect groups is superperfect, and determine when a Peiffer product of cyclic ...
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The well-known Birch and Swinnerton-Dyer conjecture gives a deep connection between the leading coefficient of the L-series and the arithmetic properties of an abelian variety. Both are very important and subtle. This paper is part of an effort to compute the analytic side explicitly in a special case. Indeed, we are interested in the central derivative of certain algebraic Hecke L-series, rela...
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In this paper we study the lower central series {Li}i≥1 of algebras with polynomial identities. More specifically, we investigate the properties of the quotients Ni = Mi/Mi+1 of successive ideals generated by the elements Li. We give a complete description of the structure of these quotients for the free metabelian associative algebra A/(A[A,A][A,A]). With methods from Polynomial Identities the...
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We prove, in standard notation from spectral theory, the asymptotic formula (B > 0) ∑ κj≤T αjHj( 1 2 ) = ( T π ) 2 − BT log T +O(T (log T )), by using an approximate functional equation for Hj( 1 2 ) and the Bruggeman-Kuznetsov trace formula. We indicate how the error termmay be improved to O(T (log T )ε).
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1998
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500032493