Scarbolo, Claudio (2014) *Graded Lie algebras of maximal class in characteristic p, generated by two elements of degree 1 and p.* PhD thesis, University of Trento.

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## Abstract

Lie algebras of maximal class (or filiform Lie algebras) are the Lie-theoretic analogue of pro-p-groups of maximal class. In particular, they are 2-generated. If one further assumes that the algebras are graded over the positive integers, then over a field of characteristic p it has been shown that a classification is possible provided one generator has degree 1 and the other has either degree 1 or 2. In this thesis I give a classification of graded Lie algebras of maximal class with generators of degree 1 and p, respectively.

Item Type: | Doctoral Thesis (PhD) |
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Doctoral School: | Mathematics |

PhD Cycle: | XXVI |

Subjects: | Area 01 - Scienze matematiche e informatiche > MAT/02 ALGEBRA |

Repository Staff approval on: | 09 Apr 2014 14:42 |

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