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The codegree isomorphism problem for finite simple groups.

Authors :
Hung, Nguyen N
Moretó, Alexander
Source :
Quarterly Journal of Mathematics; Sep2024, Vol. 75 Issue 3, p1157-1179, 23p
Publication Year :
2024

Abstract

We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducible characters. The proof is uniform for all simple groups and only depends on the classification by means of Artin–Tits' simple order theorem. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00335606
Volume :
75
Issue :
3
Database :
Complementary Index
Journal :
Quarterly Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
179176629
Full Text :
https://doi.org/10.1093/qmath/haae039