Hall-Higman type theorems. IV
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- by T. R. Berger PDF
- Proc. Amer. Math. Soc. 37 (1973), 317-325 Request permission
Abstract:
Hall and Higman’s Theorem B is proved by constructing the representation in the group algebra. This proof is independent of the field characteristic, except in one case.References
- T. R. Berger, Class two $p$ groups as fixed point free automorphism groups, Illinois J. Math. 14 (1970), 121–149. MR 255676
- Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0144979
- P. Hall and Graham Higman, On the $p$-length of $p$-soluble groups and reduction theorems for Burnside’s problem, Proc. London Math. Soc. (3) 6 (1956), 1–42. MR 72872, DOI 10.1112/plms/s3-6.1.1
- John G. Thompson, Vertices and sources, J. Algebra 6 (1967), 1–6. MR 207863, DOI 10.1016/0021-8693(67)90009-9
- Ernest E. Shult, On groups admitting fixed point free abelian operator groups, Illinois J. Math. 9 (1965), 701–720. MR 183792
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 317-325
- MSC: Primary 20C05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0466279-9
- MathSciNet review: 0466279