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Alireza Abdollahi
Alireza Abdollahi
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A possible presentation with 2 generators and 2 relators for $C_4 \cdot D_8$

Is there a presentation with two generatorgenerators and two relators for the group $C_4 \cdot D_8$? This group is of order 32 and its IdSmallGroup in GAP is [32,15]. Also it has the following presentation with 2 generators and 3 relators:

$\langle x,y \;|\; y^x=y^3, (y^2)^x=y^{-2}, yx^{-1}y=x^3\rangle$

A possible presentation with 2 generators and 2 relators $C_4 \cdot D_8$

Is there a presentation with two generator and two relators for the group $C_4 \cdot D_8$? This group is of order 32 and its IdSmallGroup in GAP is [32,15]. Also it has the following presentation with 2 generators and 3 relators:

$\langle x,y \;|\; y^x=y^3, (y^2)^x=y^{-2}, yx^{-1}y=x^3\rangle$

A possible presentation with 2 generators and 2 relators for $C_4 \cdot D_8$

Is there a presentation with two generators and two relators for the group $C_4 \cdot D_8$? This group is of order 32 and its IdSmallGroup in GAP is [32,15]. Also it has the following presentation with 2 generators and 3 relators:

$\langle x,y \;|\; y^x=y^3, (y^2)^x=y^{-2}, yx^{-1}y=x^3\rangle$

Source Link
Alireza Abdollahi
Alireza Abdollahi
  • 3.7k
  • 19
  • 27

A possible presentation with 2 generators and 2 relators $C_4 \cdot D_8$

Is there a presentation with two generator and two relators for the group $C_4 \cdot D_8$? This group is of order 32 and its IdSmallGroup in GAP is [32,15]. Also it has the following presentation with 2 generators and 3 relators:

$\langle x,y \;|\; y^x=y^3, (y^2)^x=y^{-2}, yx^{-1}y=x^3\rangle$