Zobrazeno 1 - 6
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pro vyhledávání: '"Uğurlu, Pınar"'
Autor:
Uğurlu, Pınar
Publikováno v:
Turkish J. Math. 41 (2017), no. 6, 1458-1466
We prove the conjugacy of Sylow $2$-subgroups in pseudofinite $\mathfrak{M}_c$ (in particular linear) groups under the assumption that there is at least one finite Sylow $2$-subgroup. We observe the importance of the pseudofiniteness assumption by an
Externí odkaz:
http://arxiv.org/abs/2304.07753
Autor:
Uğurlu, Pınar
We prove the conjugacy of Sylow $p$-subgroups of linear pseudofinite groups under the assumption of the existence of a finite Sylow $p$-subgroup. We also give an example of a linear pseudofinite group with non-conjugate Sylow $2$-subgroups.
Externí odkaz:
http://arxiv.org/abs/2304.07752
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
Autor:
Uğurlu, Pınar
We prove that if the group of fixed points of a generic automorphism of a simple group of finite Morley rank is pseudofinite, then this group is an extension of a (twisted) Chevalley group over a pseudofinite field. On the way to obtain this result,
Externí odkaz:
http://arxiv.org/abs/1201.6317
Autor:
Ugurlu, Pinar
This thesis is devoted to the analysis of relations between two major conjectures in the theory of groups of finite Morley rank. One of them is the Cherlin-Zil'
ber Algebraicity Conjecture which states that infinite simple groups of finite M
ber Algebraicity Conjecture which states that infinite simple groups of finite M
Externí odkaz:
http://etd.lib.metu.edu.tr/upload/12610617/index.pdf