Let X be a group class. A group G is an opponent of X if it is not an X-group, but all its proper subgroups belong to X. Of course, every opponent of X is a cohopfian group and the aim of this paper is to describe the smallest group class containing X and admitting no such a kind of cohopfian groups.
A constructive approach to accessible group classes / de Giovanni, F.; Trombetti, M.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - (2021). [10.1007/s10231-021-01146-x]
A constructive approach to accessible group classes
de Giovanni F.
;Trombetti M.
2021
Abstract
Let X be a group class. A group G is an opponent of X if it is not an X-group, but all its proper subgroups belong to X. Of course, every opponent of X is a cohopfian group and the aim of this paper is to describe the smallest group class containing X and admitting no such a kind of cohopfian groups.File in questo prodotto:
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