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On the nilpotency of the solvable radical of a finite group isospectral to a simple group
- Source :
- J. Group Theory, 2020, Vol. 23, no. 3, 447-470
- Publication Year :
- 2019
-
Abstract
- We refer to the set of the orders of elements of a finite group as its spectrum and say that groups are isospectral if their spectra coincide. We prove that with the only specific exception the solvable radical of a nonsolvable finite group isospectral to a finite simple group is nilpotent.<br />Comment: arXiv admin note: text overlap with arXiv:1806.07045
- Subjects :
- Mathematics - Group Theory
20D06, 20D25, 20D60
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Group Theory, 2020, Vol. 23, no. 3, 447-470
- Publication Type :
- Report
- Accession number :
- edsarx.1907.13479
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1515/jgth-2019-0109