For tower groups (finite direct products of S_k^{a_k} with k >= 3), LatAut of the product is S_{a_4} times a symmetric group on the remaining factors, and the LatAut tower terminates at the trivial group after exactly three steps at most.
Schmidt,Subgroup Lattices of Groups, de Gruyter Expositions in Mathematics, vol
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Termination of the Lattice-Automorphism Tower for Direct Products of Symmetric Groups
For tower groups (finite direct products of S_k^{a_k} with k >= 3), LatAut of the product is S_{a_4} times a symmetric group on the remaining factors, and the LatAut tower terminates at the trivial group after exactly three steps at most.