On non-generic finite subgroups of exceptional algebraic groups

Author(s)

    • Litterick, Alastair J.

Bibliographic Information

On non-generic finite subgroups of exceptional algebraic groups

Alastair J. Litterick

(Memoirs of the American Mathematical Society, no. 1207)

American Mathematical Society, c2018

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Note

Includes bibliographical references

May 2018, volume 253, number 1207 (second of 7 numbers)

Description and Table of Contents

Description

The study of finite subgroups of a simple algebraic group $G$ reduces in a sense to those which are almost simple. If an almost simple subgroup of $G$ has a socle which is not isomorphic to a group of Lie type in the underlying characteristic of $G$, then the subgroup is called non-generic. This paper considers non-generic subgroups of simple algebraic groups of exceptional type in arbitrary characteristic.

Table of Contents

Introduction and results Background Calculating and utilising feasible characters Normaliser stability Complete reducibility Tables of feasible characters Appendix A. Auxiliary data Bibliography.

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