Autor:	Mayer, Daniel C.
Rok vydání:	2021
Předmět:	Mathematics - Group Theory Mathematics - Number Theory 20D15 20E18 20E22 20F05 20F12 20F14 11R37 11R32 11R11 11R20 11R29 11Y40
Druh dokumentu:	Working Paper
Popis:	Infinitely many large Schur sigma-groups G with logarithmic order lo(G)=19+e, non-elementary bicyclic commutator quotient G/G' ~ C(3^e) x C(3), e >= 2, elevated rank distribution rho(G)=(3,3,3;3), punctured transfer kernel type kappa(G) ~ (144;4) and soluble length sl(G)=3 are constructed. Up to e <= 4, they are realized as 3-class field tower groups Gal(F(3,infty,K)/K) of imaginary quadratic number fields K=Q(d^1/2), d<0. Their metabelianizations M=G/G'' are BCF-groups with lo(M)=8+e and bicyclic third lower central factor gamma3(M)/gamma4(M) ~ C(3) x C(3). Comment: 22 pages, 13 tables, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.03558 Zobrazit plný text záznamu View this record from Arxiv