Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771683 | Journal of Algebra | 2018 | 44 Pages |
Abstract
For a finite group generated by involutions, the involution width is defined to be the minimal kâN such that any group element can be written as a product of at most k involutions. We show that the involution width of every non-abelian finite simple group is at most 4. This result is sharp, as there are families with involution width precisely 4.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexander J. Malcolm,