The orders of products and commutators in prime-power groups
- 1 January 1940
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 36 (1) , 14-26
- https://doi.org/10.1017/s0305004100016960
Abstract
It is known † that, if G is any p-group (group whose order is a power of the prime p) the class of which is less than p, then the order of a product of elements of G cannot exceed the orders of all the factors. This result in general ceases to hold when the class of G exceeds p − 1. In the present paper, we prove the following general results.This publication has 0 references indexed in Scilit: