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The binary actions of simple groups with a single conjugacy class of involutions.
- Source :
-
Journal of Group Theory . Jun2024, p1. 26p. - Publication Year :
- 2024
-
Abstract
- We continue our investigation of binary actions of simple groups. In this paper, we demonstrate a connection between the graph Γ ( C ) \Gamma(\mathcal{C}) based on the conjugacy class 풞 of the group 퐺, which was introduced in our previous work, and the notion of a strongly embedded subgroup of 퐺. We exploit this connection to prove a result concerning the binary actions of finite simple groups that contain a single conjugacy class of involutions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONJUGACY classes
*FINITE simple groups
Subjects
Details
- Language :
- English
- ISSN :
- 14335883
- Database :
- Academic Search Index
- Journal :
- Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 178082549
- Full Text :
- https://doi.org/10.1515/jgth-2024-0066