Skip to main content
MathOverflow

Return to Question

replaced http://mathoverflow.net/ with https://mathoverflow.net/
Source Link
Community Bot
Community Bot
  • 1
  • 2
  • 3

This question is a follow up question to thisthis question. So my question is:

For which rings $R$ (commutative, with unit) (and which integers $n$) is $Out(SL_n(R))$ a torsion group? A consequence of Theorem A and B in O'Meara The automorphisms of the linear groups over any integral domain is that this is the case (for $n\ge 3$) for any integral domain, whose underlying additive abelian group is finitely generated.

However this is just a computation and I am wondering, whether this question has already been studied somewhere more systematically or if there are other results that also have such a corollary.

This question is a follow up question to this question. So my question is:

For which rings $R$ (commutative, with unit) (and which integers $n$) is $Out(SL_n(R))$ a torsion group? A consequence of Theorem A and B in O'Meara The automorphisms of the linear groups over any integral domain is that this is the case (for $n\ge 3$) for any integral domain, whose underlying additive abelian group is finitely generated.

However this is just a computation and I am wondering, whether this question has already been studied somewhere more systematically or if there are other results that also have such a corollary.

This question is a follow up question to this question. So my question is:

For which rings $R$ (commutative, with unit) (and which integers $n$) is $Out(SL_n(R))$ a torsion group? A consequence of Theorem A and B in O'Meara The automorphisms of the linear groups over any integral domain is that this is the case (for $n\ge 3$) for any integral domain, whose underlying additive abelian group is finitely generated.

However this is just a computation and I am wondering, whether this question has already been studied somewhere more systematically or if there are other results that also have such a corollary.

deleted 2 characters in body
Source Link
Martin Brandenburg
Martin Brandenburg
  • 63.1k
  • 12
  • 207
  • 424

This question is a follow up question to this http://mathoverflow.net/questions/57235/automorphisms-of-sl-n-mathbbz/57236#57236 question. So my question is:

For which rings $R$ (commutative, with unit) (and which integers $n$) is $Out(SL_n(R))$ a torsion group? A consequence of Theorem A and B in O'MearaO'Meara The automorphisms of the linear groups over any integral domain http://www.reference-global.com/doi/abs/10.1515/crll.1966.223.56 is that this is the case (for $n\ge 3$) for any integral domain, whose underlying additive abelian group is finitely generated.

However this is just a computation and I am wondering, whether this question has already been studied somewhere more systematically or if there are other results that also have such a corollary.

This question is a follow up question to this http://mathoverflow.net/questions/57235/automorphisms-of-sl-n-mathbbz/57236#57236 question. So my question is:

For which rings $R$ (commutative, with unit) (and which integers $n$) is $Out(SL_n(R))$ a torsion group? A consequence of Theorem A and B in O'Meara The automorphisms of the linear groups over any integral domain http://www.reference-global.com/doi/abs/10.1515/crll.1966.223.56 is that this is the case (for $n\ge 3$) for any integral domain, whose underlying additive abelian group is finitely generated.

However this is just a computation and I am wondering, whether this question has already been studied somewhere more systematically or if there are other results that also have such a corollary.

This question is a follow up question to this question. So my question is:

For which rings $R$ (commutative, with unit) (and which integers $n$) is $Out(SL_n(R))$ a torsion group? A consequence of Theorem A and B in O'Meara The automorphisms of the linear groups over any integral domain is that this is the case (for $n\ge 3$) for any integral domain, whose underlying additive abelian group is finitely generated.

However this is just a computation and I am wondering, whether this question has already been studied somewhere more systematically or if there are other results that also have such a corollary.

Source Link
HenrikRüping
HenrikRüping
  • 11.1k
  • 37
  • 72

When is Out$(SL_n(R))$ a torsion group ?

This question is a follow up question to this http://mathoverflow.net/questions/57235/automorphisms-of-sl-n-mathbbz/57236#57236 question. So my question is:

For which rings $R$ (commutative, with unit) (and which integers $n$) is $Out(SL_n(R))$ a torsion group? A consequence of Theorem A and B in O'Meara The automorphisms of the linear groups over any integral domain http://www.reference-global.com/doi/abs/10.1515/crll.1966.223.56 is that this is the case (for $n\ge 3$) for any integral domain, whose underlying additive abelian group is finitely generated.

However this is just a computation and I am wondering, whether this question has already been studied somewhere more systematically or if there are other results that also have such a corollary.