A Survey on Automorphism Groups of Finite $p$-Groups

Details A Survey on Automorphism Groups of Finite $p$-Groups A Survey on Automorphism Groups of Finite $p$-Groups

2006-10-09

arxiv.org/abs/math/0610294v2

Mathematics

Group Theory

20 pages, minor corrections and additional references

Scientific paper

This survey on the automorphism groups of finite p-groups focuses on three major topics: explicit computations for familiar finite p-groups, such as the extraspecial p-groups and Sylow p-subgroups of Chevalley groups; constructing p-groups with specified automorphism groups; and the discovery of finite p-groups whose automorphism groups are or are not p-groups themselves. The material is presented with varying levels of detail, with some of the examples given in complete detail.

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