A Generalized Presentation of Cohomology Group H^2(Q,Z^m)
碩士 === 國立彰化師範大學 === 數學系 === 85 === In 1983, Jankin and Neumann gave a presentaion of the group H^2(Q,Z), where Q is the crystallographic group. Due to the special structure of the group Q, the presentation of H^2(Q,Z) can be written by a...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
1997
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| Online Access: | http://ndltd.ncl.edu.tw/handle/79240954757599576681 |
| Summary: | 碩士 === 國立彰化師範大學 === 數學系 === 85 === In 1983, Jankin and Neumann gave a presentaion of the group
H^2(Q,Z), where Q is the crystallographic group. Due to the
special structure of the group Q, the presentation of H^2(Q,Z)
can be written by a set of generators. In 1993, Shy used similar
technique to find a presentation of H^2(Q,Z^2). In this thesis,
we find a presentation of H^2(Q,Z^m) which is a generalization
of Shy's result. In addition, we investigate the automorphisms
of H^2(Q,Z^m) which are induced by the automorphisms of Q and
Z^m.
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