Real Elements and p-Nilpotence of Finite Groups
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-2-nilpotent group G, is a real element of S. This allows to give a character-free proof of a theorem due to Isaacs and Navarro (see [9, Theorem B]). As an application, the authors show a common extens...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Aracne
2016-12-01
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| Series: | Advances in Group Theory and Applications |
| Subjects: | |
| Online Access: | http://www.advgrouptheory.com/journal/Volumes/2/Ballester-Bolinches,%20Esteban-Romero,%20Ezquerro%20-%20Real%20elements%20and%20p-nilpotence%20of%20finite%20groups.pdf |