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- Title
The Jordan-Hölder theorem and prefrattini subgroups of finite groups.
- Authors
Ballester-Bolinches, A.; Ezquerro, L. M.
- Abstract
All groups considered are finite. In recent years a number of generalizations of the classic Jordan-Hölder Theorem have been obtained (see [7], Theorem A.9.13): in a finite group G a one-to-one correspondence as in the Jordan-Holder Theorem can be defined preserving not only G-isomorphic chief factors but even their property of being Frattini or non-Frattini chief factors. In [2] and [13] a new direction of generalization is presented: the above correspondence can be defined in such a way that the corresponding non-Frattini chief factors have the same complement (supplement).
- Publication
Glasgow Mathematical Journal, 1995, Vol 37, Issue 3, p265
- ISSN
0017-0895
- Publication type
Article
- DOI
10.1017/S0017089500031554