| Title:
|
On the structure of the augmentation quotient group for some nonabelian 2-groups (English) |
| Author:
|
Nan, Jizhu |
| Author:
|
Zhao, Huifang |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
62 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
279-292 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a finite nonabelian group, ${\mathbb Z}G$ its associated integral group ring, and $\triangle (G)$ its augmentation ideal. For the semidihedral group and another nonabelian 2-group the problem of their augmentation ideals and quotient groups $Q_{n}(G)=\triangle ^{n}(G)/\triangle ^{n+1}(G)$ is deal with. An explicit basis for the augmentation ideal is obtained, so that the structure of its quotient groups can be determined. (English) |
| Keyword:
|
integral group ring |
| Keyword:
|
augmentation ideal |
| Keyword:
|
augmentation quotient groups |
| Keyword:
|
finite 2-group |
| Keyword:
|
semidihedral group |
| MSC:
|
16S34 |
| MSC:
|
20C05 |
| idZBL:
|
Zbl 1249.20004 |
| idMR:
|
MR2899751 |
| DOI:
|
10.1007/s10587-012-0013-x |
| . |
| Date available:
|
2012-03-05T07:32:49Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142057 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
[10] Zhou, Q., You, H.: On the structure of augmentation quotient groups for generalized quaternion group.Algebra Colloq (to appear). |
| . |
