Finiteness properties of split extensions of linear groups

Santos Rego Y (2019)
Bielefeld: Universität Bielefeld.

Bielefelder E-Dissertation | Englisch
 
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We investigate presentation problems for certain split extensions of discrete matrix groups. In the soluble front, we classify finitely presented Abels groups over arbitrary commutative rings R in terms of their ranks and the Borel subgroup of SL(2,R). In the classical set-up we prove that, under mild conditions, a parabolic subgroup of a classical group is relatively finitely presented with respect to its extended Levi factor. This yields, in particular, a partial classification of finitely presented S-arithmetic parabolic groups. Furthermore, we consider higher dimensional finiteness properties and establish an upper bound on the finiteness length of groups that admit certain representations with soluble image.
Jahr
2019
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https://pub.uni-bielefeld.de/record/2937569

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Santos Rego Y. Finiteness properties of split extensions of linear groups. Bielefeld: Universität Bielefeld; 2019.
Santos Rego, Y. (2019). Finiteness properties of split extensions of linear groups. Bielefeld: Universität Bielefeld. doi:10.4119/unibi/2937569
Santos Rego, Y. (2019). Finiteness properties of split extensions of linear groups. Bielefeld: Universität Bielefeld.
Santos Rego, Y., 2019. Finiteness properties of split extensions of linear groups, Bielefeld: Universität Bielefeld.
Y. Santos Rego, Finiteness properties of split extensions of linear groups, Bielefeld: Universität Bielefeld, 2019.
Santos Rego, Y.: Finiteness properties of split extensions of linear groups. Universität Bielefeld, Bielefeld (2019).
Santos Rego, Yuri. Finiteness properties of split extensions of linear groups. Bielefeld: Universität Bielefeld, 2019.
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2019-09-24T21:03:22Z
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