Zobrazeno 1 - 10
of 10
pro vyhledávání: '"20E22, 20E36"'
We introduce a quantitative characterization of subgroup alternatives modeled on the Tits alternative in terms of group laws and investigate when this property is preserved under extensions. We develop a framework that lets us expand the classes of g
Externí odkaz:
http://arxiv.org/abs/2012.14880
Publikováno v:
Archiv der Mathematik (2021). The final publication is available at https://link.springer.com/article/10.1007/s00013-020-01566-w
Let $G$ be a group. The orbits of the natural action of $\Aut(G)$ on $G$ are called "automorphism orbits" of $G$, and the number of automorphism orbits of $G$ is denoted by $\omega(G)$. Let $G$ be a virtually nilpotent group such that $\omega(G)< \in
Externí odkaz:
http://arxiv.org/abs/2008.10800
Autor:
Glockner, Helge, Willis, George A.
The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been known that p-adic analytic contraction groups are nilpotent. We show he
Externí odkaz:
http://arxiv.org/abs/2006.10999
Autor:
Fraiman, Mikhail I.
We prove that the restricted wreath product ${\mathbb{Z}_n \mathbin{\mathrm{wr}} \mathbb{Z}^k}$ has the $R_\infty$-property, i. e. every its automorphism $\varphi$ has infinite Reidemeister number $R(\varphi)$, in exactly two cases: (1) for any $k$ a
Externí odkaz:
http://arxiv.org/abs/2005.04489
Publikováno v:
Geometriae Dedicata volume 209, pages119. -- 123 (2020) - The final publication is available at https://link.springer.com/article/10.1007/s10711-020-00525-7
Let $G$ be a group. The orbits of the natural action of Aut$(G)$ on $G$ are called ``automorphism orbits'' of $G$, and the number of automorphism orbits of $G$ is denoted by $\omega(G)$. We prove that if $G$ is a soluble group with finite rank such t
Externí odkaz:
http://arxiv.org/abs/1908.01375
Autor:
Glockner, Helge, Willis, George A.
A locally compact contraction group is a pair (G,f) where G is a locally compact group and f an automorphism of G which is contractive in the sense that the forward orbit under f of each g in G converges to the neutral element e, as n tends to infini
Externí odkaz:
http://arxiv.org/abs/1804.01267
Autor:
Helge Glöckner, George A. Willis
The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been known that p-adic analytic contraction groups are nilpotent. We show he
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c7014fda3749fbb37eecc2949741ebe
http://arxiv.org/abs/2006.10999
http://arxiv.org/abs/2006.10999
Autor:
M. I. Fraiman
We prove that the restricted wreath product ${\mathbb{Z}_n \mathbin{\mathrm{wr}} \mathbb{Z}^k}$ has the $R_\infty$-property, i. e. every its automorphism $\varphi$ has infinite Reidemeister number $R(\varphi)$, in exactly two cases: (1) for any $k$ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af87bedbad6a90a0f5dee585bba2c360
http://arxiv.org/abs/2005.04489
http://arxiv.org/abs/2005.04489
Let G be a group. The orbits of the natural action of $${{\,\mathrm{Aut}\,}}(G)$$ on G are called automorphism orbits of G, and the number of automorphism orbits of G is denoted by $$\omega (G)$$ . Let G be a virtually nilpotent group such that $$\om
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::729e781d9f030b0ae4de9a381d86a818
Let $G$ be a group. The orbits of the natural action of Aut$(G)$ on $G$ are called ``automorphism orbits'' of $G$, and the number of automorphism orbits of $G$ is denoted by $\omega(G)$. We prove that if $G$ is a soluble group with finite rank such t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d78ec0189e743d301518754db0f0e26
http://arxiv.org/abs/1908.01375
http://arxiv.org/abs/1908.01375