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Errata for two papers of Stitzinger
- Source :
- Proceedings of the American Mathematical Society. 34:631
- Publication Year :
- 1972
- Publisher :
- American Mathematical Society (AMS), 1972.
-
Abstract
- There is a mistake in each of [3] and [4]. The purpose of this note is to correct the error in [3] and to salvage what can be saved in [4]. In each case the notation will be that of the paper under discussion. Professor Homer Bechtell has kindly informed me of an error in the proof of the Theorem of [3] which occurs in the case MG1c G. The theorem is true however by altering the proof at this point. Assume that Mc: MG1=M1lc:G. M1 is an invariant subgroup of G, and since G1c: Soc(G), G1 is a direct sum of minimal invariant subgroups of G. By Clifford's theorem (p. 70 of [1]), each minimal invariant subgroup of G is either M1-central or M1-hypereccentric, and hence
Details
- ISSN :
- 10886826 and 00029939
- Volume :
- 34
- Database :
- OpenAIRE
- Journal :
- Proceedings of the American Mathematical Society
- Accession number :
- edsair.doi...........7600a731866fb8b4f404ab05e7e83201