|
Some finiteness questions about formations
V. P. Burichenko Institute of Mathematics of the National Academy of Sciences of Belarus
Abstract:
In this paper we give negative answers to some open “finiteness questions” related to local and Baer-local formations of finite groups. Relevant examples are constructed explicitly. In particular, we describe a pair of local formations $(\mathfrak{F},\mathfrak{H})$ such that the set of all local formations that are contained in $\mathfrak{F}$ and not contained in $\mathfrak{H}$ has no minimal element.
Received: 01.02.2013
Citation:
V. P. Burichenko, “Some finiteness questions about formations”, Tr. Inst. Mat., 21:1 (2013), 15–24
Linking options:
https://www.mathnet.ru/eng/timb180 https://www.mathnet.ru/eng/timb/v21/i1/p15
|
Statistics & downloads: |
Abstract page: | 183 | Full-text PDF : | 96 | References: | 39 |
|