Abstract
Suppose p is a prime, S is a finite p-group, and B is a subgroup of S of order p n and class at most c. Does S possess a normal subgroup of order p n and class at most c? J. Alperin showed that the answer is negative in general. In this article, we show that the answer is affirmative if n is sufficiently small relative to p.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
