Şükrü Yalçınkaya

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20102024

most citedAdjoint representations of black box groups

PSL_{2} (F_{q})

18 citations · 39 across the 7 of their papers we have counts for

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Showing 2014 · math.GRShow all

3 papers · 2 filters

math.GR2014★ 1 cited

Black Box White Arrow

Alexandre Borovik, Şükrü Yalçinkaya

The present paper proposes a new and systematic approach to the so-called black box group methods in computational group theory. Instead of a single black box, we consider categori…

math.GR2014★ 2 cited

Construction of some subgroups in black box groups $PGL_{2} (q)$ and $(P) SL_{2} (q)$

Alexandre Borovik, Şükrü Yalçınkaya

For the black box groups $X$ encrypting $PGL_{2} (q)$ , $q$ odd, we propose an algorithm constructing a subgroup encrypting $Sym_{4}$ and subfield subgroups of $X$ . We also…

math.GR2014

Generation of finite classical groups by pairs of elements with large fixed point spaces

Cheryl E. Praeger, Ákos Seress, Şükrü Yalçinkaya

We study `good elements' in finite $2 n$ -dimensional classical groups $G$ : namely $t$ is a `good element' if $o (t)$ is divisible by a primitive prime divisor of $q^{n} - 1$ for the rele…

Black Box White Arrow

Construction of some subgroups in black box groups PGL2​(q) and (P)SL2​(q)

Generation of finite classical groups by pairs of elements with large fixed point spaces

Construction of some subgroups in black box groups $PGL_{2} (q)$ and $(P) SL_{2} (q)$