An Elementary Classification of Symmetric 2-Cocycles
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چکیده
We present a classification of the so-called “additive symmetric 2-cocycles” of arbitrary degree and dimension over Zp, along with a partial result and some conjectures for m-cocycles over Zp, m > 2. This expands greatly on a result originally due to Lazard and more recently investigated by Ando, Hopkins, and Strickland, which together with their work culminates in a complete classification of 2-cocycles over an arbitrary commutative ring. The ring classifying these polynomials finds application in algebraic topology, including generalizations of formal group laws and of cubical structures.
منابع مشابه
A Classification of Additive Symmetric 2-cocycles
We present a classification of the so-called “additive symmetric 2-cocycles” of arbitrary degree and dimension over Fp, along with a partial result and some conjectures for m-cocycles over Fp, m> 2. This expands greatly on a result originally due to Lazard and more recently investigated by Ando, Hopkins and Strickland, and together with their work this culminates in a complete classification of...
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تاریخ انتشار 2008