| Title: | On Autonilpotent Finite Groups |
| Authors: | Murashka, V.I. Мурашко, В.И. |
| Keywords: | Finite groups nilpotent groups autonilpotent groups hypercenter of a group |
| Issue Date: | 2017 |
| Citation: | Murashka, V.I. On Autonilpotent Finite Groups / V.I. Murashka // arXiv.org.math.GR. - 2017. - arXiv:1711.01688v1. - P. [1-6]. |
| Abstract: | In the paper autonilpotent groups were characterized as groups G such that AutG stabilizes some chain of subgroups of G. It was shown that a p-group is autonilpotent if and only if its group of automorphisms is also a p-group. Analogues of Baer’s theorem about the hypercenter and Frobenius p-nilpotency criterion were obtained for autonilpotent groups. |
| URI: | https://elib.gsu.by/handle123456789/73423 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Murashka_On_Autonilpotent.pdf | 98.26 kB | Adobe PDF | View/Open |
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