A remark on operating groups
Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains. We remark that the structure of H is quite restricted when G has a special H-invariant subgroup chain.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000501 |
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| Summary: | Let G be a finite group and H be an operator group of G. In this short
note, we show a relationship between subnormal subgroup chains and H-invariant subgroup
chains. We remark that the structure of H is quite restricted when G has a special H-invariant
subgroup chain. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |