In this short note we prove a local version of Philip Hall’s theorem on the nilpotency of the stability group of a chain of subgroups by only using elementary commutator calculus (Hall’s theorem is a direct consequence of our result). This provides a new way of dealing with stability groups.
A local approach to stability groups / Newell, M. L.; Trombetti, M.. - In: JOURNAL OF ALGEBRAIC COMBINATORICS. - ISSN 0925-9899. - (2024). [10.1007/s10801-024-01345-8]
A local approach to stability groups
Newell M. L.;Trombetti M.
2024
Abstract
In this short note we prove a local version of Philip Hall’s theorem on the nilpotency of the stability group of a chain of subgroups by only using elementary commutator calculus (Hall’s theorem is a direct consequence of our result). This provides a new way of dealing with stability groups.File in questo prodotto:
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