Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Karhumäki, Ulla"'
Autor:
Karhumäki, Ulla, Wagner, Frank Olaf
Any simple pseudofinite group G is known to be isomorphic to a (twisted) Chevalley group over a pseudofinite field. This celebrated result mostly follows from the work of Wilson in 1995 and heavily relies on the classification of finite simple groups
Externí odkaz:
http://arxiv.org/abs/2408.11484
Autor:
Karhumäki, Ulla
Let $G$ be an infinite simple group of finite Morley rank and $\alpha$ a supertight automorphism of $G$ so that the fixed point subgroup $P_n:=C_G(\alpha^n)$ is pseudofinite for all $n\in \mathbb{N}\setminus\{0\}$. It is know (using CFSG) that the so
Externí odkaz:
http://arxiv.org/abs/2401.14222
Publikováno v:
In Journal of Algebra 1 June 2024 647:884-905
Autor:
Karhumäki, Ulla
We give a structural theorem for pseudofinite groups of finite centraliser dimension. As a corollary, we observe that there is no finitely generated pseudofinite group of finite centraliser dimension.
Externí odkaz:
http://arxiv.org/abs/2106.05698
Autor:
Karhumäki, Ulla, Uğurlu, Pınar
Let $G$ be an infinite simple group of finite Morley rank and of Pr\"{u}fer $2$-rank $1$ which admits a supertight automorphism $\alpha$ such that the fixed-point subgroup $C_G(\alpha^n)$ is pseudofinite for all integers $n > 0$. We prove that $G \co
Externí odkaz:
http://arxiv.org/abs/2012.09582
Akademický článek
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Autor:
Borovik, Alexandre, Karhumäki, Ulla
We describe structure of locally finite groups of finite centraliser dimension.
Comment: This is the Author Accepted Manuscript of the paper: A. Borovik and U. Karhum\"{a}ki, Locally finite groups of finite centralizer dimension. J. Group Theory
Comment: This is the Author Accepted Manuscript of the paper: A. Borovik and U. Karhum\"{a}ki, Locally finite groups of finite centralizer dimension. J. Group Theory
Externí odkaz:
http://arxiv.org/abs/1804.07957
Autor:
Karhumäki, Ulla
Publikováno v:
J. symb. log. 84 (2019) 704-712
We prove that infinite definably simple locally finite groups of finite centraliser dimension are simple groups of Lie type over locally finite fields. Then, we identify conditions on automorphisms of a stable group that make it resemble the Frobeniu
Externí odkaz:
http://arxiv.org/abs/1801.00576
In this paper, we consider the problem of exploring unknown environments with autonomous agents. We model the environment as a graph with edge weights and analyze the task of visiting all vertices of the graph at least once. The hardness of this task
Externí odkaz:
http://arxiv.org/abs/1611.00934
Autor:
KARHUMÄKI, ULLA
Publikováno v:
The Journal of Symbolic Logic, 2019 Jun 01. 84(2), 704-712.
Externí odkaz:
https://www.jstor.org/stable/26788469