Symbolic Computation with Infinite Sequences of P groups with Fixed Coclass is popular PDF and ePub book, written by Dörte Feichtenschlager in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Symbolic Computation with Infinite Sequences of P groups with Fixed Coclass can be Read Online from any device for your convenience.
Symbolic Computation with Infinite Sequences of P groups with Fixed Coclass Book PDF Summary
The classification of finite emph {p-groups is a much investigated problem, though in general it seems impossible. Leedham-Green & Newman defined a new invariant for finite emph {p-groups, the coclass. They suggested to try to classify finite emph {p-groups by coclass. One step towards such a classification was the introduction of so-called infinite coclass sequences by du Sautoy and Eick & Leedham-Green. The groups in such a sequence can be described by a parametrised presentation. For prime 2 and a fixed coclass r it holds that almost all 2-groups of coclass r fall into finitely many infinite coclass sequences. So describing the infinite sequences yields an almost classification in these cases. In this work it is shown that using the parametrised presentations one can compute certain invariants for almost all groups in an infinite coclass sequence, especially the Schur multiplicator. This is done by introducing a way to work with almost all groups at a time by a symbolic computation.
Detail Book of Symbolic Computation with Infinite Sequences of P groups with Fixed Coclass PDF
- Author : Dörte Feichtenschlager
- Release : 20 September 2024
- Publisher : Logos Verlag Berlin GmbH
- ISBN : 9783832525880
- Genre : Mathematics
- Total Page : 140 pages
- Language : English
- PDF File Size : 18,5 Mb
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