| Title:
|
On the conjugate type vector and the structure of a normal subgroup (English) |
| Author:
|
Chen, Ruifang |
| Author:
|
Guo, Lujun |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
72 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
201-207 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $N$ be a normal subgroup of a group $G$. The structure of $N$ is given when the $G$-conjugacy class sizes of $N$ is a set of a special kind. In fact, we give the structure of a normal subgroup $N$ under the assumption that the set of $G$-conjugacy class sizes of $N$ is $(p_{1n_1}^{a_{1n_1}},\cdots , p_{1 1}^{a_{11}}, 1) \times \cdots \times (p_{rn_r}^{a_{rn_r}},\cdots , p_{r1}^{a_{r1}}, 1)$, where $r>1$, $n_i>1$ and $p_{ij}$ are distinct primes for $i\in \{1, 2, \cdots , r\}$, $j\in \{1, 2, \cdots , n_i\}$. (English) |
| Keyword:
|
index |
| Keyword:
|
conjugacy class size |
| Keyword:
|
Baer group |
| MSC:
|
20D60 |
| MSC:
|
20E45 |
| idZBL:
|
Zbl 07511562 |
| idMR:
|
MR4389115 |
| DOI:
|
10.21136/CMJ.2021.0395-20 |
| . |
| Date available:
|
2022-03-25T08:30:21Z |
| Last updated:
|
2024-04-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149582 |
| . |
| 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:
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| Reference:
|
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| . |
