Title
Join Irreducible Pseudovarieties, Group Mapping, and Kovács-Newman Semigroups
Abstract
We call a pseudovariety finite join irreducible if V less than or equal to V-1 v V-2 ==> V less than or equal to V1 or V less than or equal to V2. We present a large class of group mapping semigroups generating finite join irreducible pseudovarieties. We show that many naturally occurring pseudovarieties are finite join irreducible including: S, DS, CR, CS and H, where H is a group pseudovariety containing a non-nilpotent group.
Year
DOI
Venue
2004
10.1007/978-3-540-24698-5_32
Lecture Notes in Computer Science
Keywords
Field
DocType
nilpotent group
Discrete mathematics,Combinatorics,Nilpotent group,Maximal subgroup,Semigroup,Finite group,Mathematics,Normal subgroup
Conference
Volume
ISSN
Citations 
2976
0302-9743
1
PageRank 
References 
Authors
0.38
1
2
Name
Order
Citations
PageRank
John Rhodes18920.04
Benjamin Steinberg210217.57