1 | initial version |

You should tell us how you construct `B`

. As for me, it works as expected:

```
sage: G = SL(2,GF(3)) ; G
Special Linear Group of degree 2 over Finite Field of size 3
sage: a = G.gens()[0] ; a
[1 1]
[0 1]
sage: G.subgroup([a])
Matrix group over Finite Field of size 3 with 1 generators (
[1 1]
[0 1]
)
```

2 | No.2 Revision |

You should tell us how you construct `B`

. As for me, it works as expected:

```
sage: G = SL(2,GF(3)) ; G
Special Linear Group of degree 2 over Finite Field of size 3
sage: a = G.gens()[0] ; a
[1 1]
[0 1]
sage:
```~~G.subgroup([a])
~~H = G.subgroup([a]) ; H
Matrix group over Finite Field of size 3 with 1 generators (
[1 1]
[0 1]
)
sage: a^2 in H
True

3 | No.3 Revision |

You should tell us how ~~you construct ~~`B`

~~. ~~ is constructed. As for me, it works as expected:

```
sage: G = SL(2,GF(3)) ; G
Special Linear Group of degree 2 over Finite Field of size 3
sage: a = G.gens()[0] ; a
[1 1]
[0 1]
sage: H = G.subgroup([a]) ; H
Matrix group over Finite Field of size 3 with 1 generators (
[1 1]
[0 1]
)
sage: a^2 in H
True
```

4 | No.4 Revision |

You should tell us how `B`

is constructed. As for me, it works as expected:

```
sage: G = SL(2,GF(3)) ; G
Special Linear Group of degree 2 over Finite Field of size 3
sage: a = G.gens()[0] ; a
[1 1]
[0 1]
sage: H = G.subgroup([a]) ; H
Matrix group over Finite Field of size 3 with 1 generators (
[1 1]
[0 1]
)
sage: a^2 in H
True
sage: G.gens()[1]
[0 1]
[2 0]
sage: G.gens()[1] in H
False
```

5 | No.5 Revision |

You should tell us how `B`

is ~~constructed. ~~constructed, otherwise we will not be able to understand where is your problem coming from. As for me, it works as expected:

```
sage: G = SL(2,GF(3)) ; G
Special Linear Group of degree 2 over Finite Field of size 3
sage: a = G.gens()[0] ; a
[1 1]
[0 1]
sage: H = G.subgroup([a]) ; H
Matrix group over Finite Field of size 3 with 1 generators (
[1 1]
[0 1]
)
sage: a^2 in H
True
sage: G.gens()[1]
[0 1]
[2 0]
sage: G.gens()[1] in H
False
```

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.