Abstract
Let λ(G) be the maximum number of subgroups in an irredundant covering of the finite group G. In this note we investigate the basic properties of λ(G), classify the groups for which λ(G) = 3, 4, 5 and also classify the nilpotent groups that admit only one-sized coverings.
Key Words:
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The author would like to thank Emanuel Carneiro for fruitful conversations during the preparation of this work.
Notes
Communicated by J. Zhang.