Groups of even type which are not of even characteristic, I

Research output: Contribution to journalArticlepeer-review

Authors

Colleges, School and Institutes

External organisations

  • Martin-Luther-Universität Halle-Wittenberg

Abstract

In the ongoing revision of the classification of the finite simple groups there is a subdivision into two classes of groups, which reflects whether semisimple elements or unipotent elements
are the primary focus of the investigation. While semisimple methods naturally lead to the definition of groups of even type, unipotent methods, notably the amalgam method, naturally lead to groups of even characteristic. This paper clarifies the relationship between the two definitions and thus makes the amalgam method available for use in the classification of groups of even type.

Details

Original languageEnglish
Pages (from-to)211-278
JournalIsrael Journal of Mathematics
Volume213
Issue number1
Early online date15 Apr 2016
Publication statusPublished - Jun 2016