A measuring argument for finite groups
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- by Andrew Chermak and Alberto Delgado
- Proc. Amer. Math. Soc. 107 (1989), 907-914
- DOI: https://doi.org/10.1090/S0002-9939-1989-0994774-4
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Abstract:
We call attention to a simple measuring argument for finite groups. Direct applications of this argument lead to the construction of certain new characteristic subgroups of finite $p$-groups as well as an easy proof of a generalization, due to Timmesfeld, of the Thompson replacement lemma. Some applications to finite simple groups are also given.References
- Andrew Chermak and Alberto L. Delgado, $J$-modules for local $BN$-pairs, Proc. London Math. Soc. (3) 63 (1991), no. 1, 69–112. MR 1105719, DOI 10.1112/plms/s3-63.1.69
- I. N. Herstein, Topics in algebra, 2nd ed., Xerox College Publishing, Lexington, Mass.-Toronto, Ont., 1975. MR 0356988
- F. Timmesfeld, A remark on Thompson’s replacement theorem and a consequence, Arch. Math. (Basel) 38 (1982), no. 6, 491–495. MR 668050, DOI 10.1007/BF01304821
Bibliographic Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 907-914
- MSC: Primary 20B05
- DOI: https://doi.org/10.1090/S0002-9939-1989-0994774-4
- MathSciNet review: 994774