Finite nonabelian p-groups all of whose subgroups are q-self dual
A finite p-group G is q-self dual if every quotient of G is isomorphic to a subgroup of G. Here, we determine finite 2-groups G all of whose subgroups are q-self dual (Theorem 3) and in case p > 2 we get a classification of such groups only under the additional assumptions that Ω1(G) is abelian (...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
September 2014
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| In: |
Journal of algebra and its applications
Year: 2014, Volume: 13, Issue: 06 |
| ISSN: | 0219-4988 |
| DOI: | 10.1142/S021949881450008X |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1142/S021949881450008X Verlag, Volltext: http://www.worldscientific.com/doi/abs/10.1142/S021949881450008X 
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| Author Notes: | Zvonimir Janko |
| Summary: | A finite p-group G is q-self dual if every quotient of G is isomorphic to a subgroup of G. Here, we determine finite 2-groups G all of whose subgroups are q-self dual (Theorem 3) and in case p > 2 we get a classification of such groups only under the additional assumptions that Ω1(G) is abelian (Theorem 4). |
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| Item Description: | Published online: 27 December 2013 Gesehen am 23.02.2018 |
| Physical Description: | Online Resource |
| ISSN: | 0219-4988 |
| DOI: | 10.1142/S021949881450008X |