First excited state with moderate rank distribution
Group Theory
2021-10-14 v1
Abstract
Evidence is provided for the existence of infinite periodic sequences of Schur sigma-groups G with commutator quotient G/G' ~ C(3^e) x C(3), e >= 7, and logarithmic order lo(G) = 10+e. With respect to their maximal subgroups H1,H2,H3;H4, they have moderate rank distribution rho(G) = (rank3(Hi/Hi')) ~ (2,2,3;3) and represent the first excited state of their punctured transfer kernel types kappa(G), which is characterized by a polarized component, e33 or (e+1)32, of the abelian quotient invariants alpha(G) = (Hi/Hi') with lo = 6+e in contrast to the ground state with lo = 4+e.
Cite
@article{arxiv.2110.06511,
title = {First excited state with moderate rank distribution},
author = {Daniel C. Mayer},
journal= {arXiv preprint arXiv:2110.06511},
year = {2021}
}
Comments
7 pages, 1 figure