p-群代数的Gröbner基
Gröbner bases for p-group algebras
摘要:
实验表明,对于模p-群代数,逆长度字典序一致地产生比长度字典序小得多的Gröbner基.对于所谓的詹宁斯词序,基于一个特殊的幂共轭群表示,相关的单项代数是一个群不变量。
英文摘要:
Experiment shows that the reverse length-lexicographical word ordering consistently yields far smaller Gröbner bases for modular p-group algebras than the length-lexicographical ordering. For the so-called Jennings word ordering, based on a special power-conjugate group presentation, the associated monomial algebra is a group invariant.
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