OFFSET
1,1
COMMENTS
REFERENCES
R. Guralnick, A bound for the number of generators of a finite group, Arch. Math. 53 (1989), 521-523.
A. Lucchini, A bound on the number of generators of a finite group, Arch. Math. 53, (1989), 313-317.
LINKS
EXAMPLE
k=20 is 2^2*5, so maximal exponent is 2. All five groups of order 20 can be generated by 2 elements. So 20 does NOT belong here.
On the other hand, k=21 is 3*7, so maximal exponent is 1. But there exists a group of order 21 that cannot be generated by 1 element. Therefore 21 belongs in this sequence.
CROSSREFS
KEYWORD
nonn
AUTHOR
Jeppe Stig Nielsen, Apr 25 2020
EXTENSIONS
More terms from Jinyuan Wang, Jun 26 2022
STATUS
approved