Journal
COMMUNICATIONS IN ALGEBRA
Volume 50, Issue 9, Pages 3932-3939Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/00927872.2022.2049807
Keywords
Character degree; character codegree; simple group
Categories
Funding
- NSF-REU grant [DMS-1757233]
- NSA grant [H98230-21-1-0333]
- NSF
- NSA
- NSFC [11701421, 11871011]
- Science & Technology Development Fund of Tianjin Education Commission for Higher Education [2020KJ010]
- Simons Foundation [499532]
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In this paper, we prove that the set of codegrees of M-11, M-12, M-22, M-23, and PSL(3, 3) can determine the isomorphism of these groups.
Let G be a finite group and chi is an element of Irr(G). The codegree of chi is defined as cod(chi) = vertical bar G:ker(chi)/chi(1)vertical bar and cod(G) = {cod(chi)vertical bar chi is an element of Irr(G)} is called the set of codegrees of G. In this paper, we show that the set of codegrees of M-11, M-12, M-22, M-23, and PSL(3, 3) determines the group up to isomorphism.
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