Zobrazeno 1 - 10
of 257
pro vyhledávání: '"Segal, Dan"'
Autor:
Segal, Dan
Finitely generated (non-abelian) free metabelian pro-p groups, and wreath products of f.g. free abelian pro-p groups, are all finitely axiomatizable in the class of all profinite groups.
Externí odkaz:
http://arxiv.org/abs/2303.14776
Autor:
Segal, Dan
Commensurable groups are bi-interpretable, under suitable definability conditions.
Externí odkaz:
http://arxiv.org/abs/2301.12506
Autor:
Segal, Dan
A soluble pro-p group of finite rank is finitely axiomatizable in the class of all profinite groups if and only if for each open subgroup H, the image of Z(H) in the abelianization of H is finite, subject to some suitable hypothesis of finite present
Externí odkaz:
http://arxiv.org/abs/2209.08279
Autor:
Nikolov, Nikolay, Segal, Dan
We present two uncountable families of finitely generated residually finite groups all having the same profinite completion. One consists of soluble groups, the other of branch groups.
Comment: another small error corrected
Comment: another small error corrected
Externí odkaz:
http://arxiv.org/abs/2107.08877
Autor:
Segal, Dan
The `upper rank' of a group is the supremum of the (Pr\"{u}fer) ranks of its finite quotients, and for a prime $p$, the `upper $p$-rank' is the supremum of the sectional $p$-ranks of those quotients. The former is finite if and only if the latter are
Externí odkaz:
http://arxiv.org/abs/2104.12281
Autor:
Segal, Dan
If $G$ is a Chevalley group and $R$ is an adele ring, or a product of local factors in an adele ring, then $R$ is bi-interpretable with $G(R)$.
Comment: This supplements similar results for integral domains recently posted by Nies, Segal and Ten
Comment: This supplements similar results for integral domains recently posted by Nies, Segal and Ten
Externí odkaz:
http://arxiv.org/abs/2007.11440
Autor:
Segal, Dan, Tent, Katrin
We show that for Chevalley groups G(R) of rank at least 2 over a ring R the root subgroups are essentially (nearly always) the double centralizers of corresponding root elements. In very many cases this implies that R and G(R) are bi-interpretable, y
Externí odkaz:
http://arxiv.org/abs/2004.13407
A group is $\textit{finitely axiomatizable}$ (FA) in a class $\mathcal{C}$ if it can be determined up to isomorphism within $\mathcal{C}$ by a sentence in the first-order language of group theory. We show that profinite groups of various kinds are FA
Externí odkaz:
http://arxiv.org/abs/1907.02262
Publikováno v:
In Research Policy July 2023 52(6)
