Email this article On hereditary superradical formations
- Authors: Yi X.1, Kamornikov S.F.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 57, No 2 (2016)
- Pages: 260-264
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170365
- DOI: https://doi.org/10.1134/S0037446616020087
- ID: 170365
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Abstract
A formation F is superradical provided that: (1) F is a normally hereditary formation; (2) each group G = AB, where A and B are F-subnormal F-subgroups in G, belongs to F. We give an example of a hereditary superradical formation that is not soluble saturated. This gives a negative answer to Problem 14.99(b) in The Kourovka Notebook.
About the authors
X. Yi
Department of Mathematics
Author for correspondence.
Email: yixiaolan2005@126.com
China, Hangzhou
S. F. Kamornikov
Department of Mathematics
Email: yixiaolan2005@126.com
China, Hangzhou
