| Title: | On ECP-Groups |
| Authors: | Murashka, V.I. Мурашко, В.И. |
| Keywords: | Finite group conjugate-permutable subgroup regular group ECP-group |
| Issue Date: | 2021 |
| Citation: | Murashka, V.I. On ECP-Groups / V.I. Murashka // arXiv.org.math.GR. - 2021. - arXiv:2106.09676v1. - P. [1-4]. |
| Abstract: | According to T. Foguel a subgroup H of a group G is called conjugate-permutable if HHx = HxH for every x ∈ G. Mingyao Xu and Qinhai Zhang studied finite groups with every subgroup conjugate-permutable (ECP-groups) and asked three questions about them. We gave the answers on these questions. In particular, every group of exponent 3 is ECP-group, there exist non-regular ECP-3-groups and the class of all finite ECP-groups is neither formation nor variety. |
| URI: | https://elib.gsu.by/handle123456789/73427 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Murashka_On_ECP-Groups.pdf | 85.85 kB | Adobe PDF | View/Open |
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