On extensions of the Baer-Suzuki Theorem
- Cite this article as:
- Guralnick, R.M. & Robinson, G.R. Israel J. Math. (1993) 82: 281. doi:10.1007/BF02808114
- 69 Views
We find a necessary and sufficient condition for an element of prime order in a finite group to be in a normalp-subgroup. This generalizes the Baer-Suzuki Theorem. Our proof depends on a result about elements of prime order contained in a unique maximal subgroup containing a result of Wielandt. We discuss various consequences, linear and algebraic group versions of the result.