Finite p-groups with some isolated subgroups
We say that a subgroup H is isolated in a group G if for each x∈G we have either x∈H or 〈x〉∩H={1}. Here we shall determine certain classes of finite nonabelian p-groups which possess some isolated subgroups (Theorems 1, 2, 4, 6 and 8 to 16).
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
22 July 2016
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| In: |
Journal of algebra
Year: 2016, Volume: 465, Pages: 41-61 |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2016.06.032 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.jalgebra.2016.06.032 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0021869316302009 
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| Author Notes: | Zvonimir Janko |
| Summary: | We say that a subgroup H is isolated in a group G if for each x∈G we have either x∈H or 〈x〉∩H={1}. Here we shall determine certain classes of finite nonabelian p-groups which possess some isolated subgroups (Theorems 1, 2, 4, 6 and 8 to 16). |
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| Item Description: | Gesehen am 23.02.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1090-266X |
| DOI: | 10.1016/j.jalgebra.2016.06.032 |