| Title:
|
Indecomposable (1,3)-groups and a matrix problem (English) |
| Author:
|
Arnold, David M. |
| Author:
|
Mader, Adolf |
| Author:
|
Mutzbauer, Otto |
| Author:
|
Solak, Ebru |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
63 |
| Issue:
|
2 |
| Year:
|
2013 |
| Pages:
|
307-355 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Almost completely decomposable groups with a critical typeset of type $(1,3)$ and a $p$-primary regulator quotient are studied. It is shown that there are, depending on the exponent of the regulator quotient $p^k$, either no indecomposables if $k\leq 2$; only six near isomorphism types of indecomposables if $k=3$; and indecomposables of arbitrary large rank if $k\geq 4$. (English) |
| Keyword:
|
almost completely decomposable group |
| Keyword:
|
indecomposable |
| Keyword:
|
representation |
| MSC:
|
15A21 |
| MSC:
|
16G20 |
| MSC:
|
20K15 |
| MSC:
|
20K25 |
| MSC:
|
20K35 |
| idZBL:
|
Zbl 06236414 |
| idMR:
|
MR3073961 |
| DOI:
|
10.1007/s10587-013-0020-6 |
| . |
| Date available:
|
2013-07-18T14:50:00Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143315 |
| . |
| Reference:
|
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| . |
