A 3-local Characterization for M₁₁

Abstract

We identify M ₁₁ by the structure of the normalizer of its Sylow 3-subgroup.

Key Words:

• Finite simple group

20l0 Mathematics Subject Classification:

• 20D08

ACKNOWLEDGMENTS

The author is grateful to Professor Chris Parker for his useful remarks. The author is deeply indebted to Professor Stroth for giving him the opportunity to work on classification of finite simple groups and for his useful remarks and comments.

Notes

Communicated by V. A. Artamonov.

Dedicated to professor stroth on his 65th birthday.