Introduction 1. Higher limits over orbit categories 2. Reduction to simple groups 3. A relative version of $\Lambda $-functors 4. Subgroups which contribute to higher limits 5. Alternating groups 6. Groups of Lie type in characteristic two 7. Classical groups of Lie type in odd characteristic 8. Exceptional groups of Lie type in odd characteristic 9. Sporadic groups 10. Computations of $\lim ̂1(\mathcal {Z}_G)$

Summary

Introduction Higher limits over orbit categories Reduction to simple groups A relative version of $\Lambda$-functors Subgroups which contribute to higher limits Alternating groups Groups of Lie type in characteristic two Classical groups of Lie type in odd characteristic Exceptional groups of Lie type in odd characteristic Sproadic groups Computations of $\textrm{lim}̂1(\mathcal{Z}_G)$ Bibliography

Notes

"Volume 180, number 848 (second of 5 numbers)."

Bibliography

Includes bibliographical references (pages 100-102)