Normality for Elementary Subgroup Functors

Bak A, Vavilov N (1995)
Mathematical Proceedings of the Cambridge Philosophical Society 118: 35-47.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Bak, AnthonyUniBi; Vavilov, N.
Abstract / Bemerkung
We define a notion of group functor G on categories of graded modules, which unifies previous concepts of a group functor G possessing a notion of elementary subfunctor E. We show under a general condition which is easily checked in practice that the elementary subgroup E(M) of G(M) is normal for all quasi-weak Noetherian objects M in the source category of G. This result includes all previous ones on Chevalley and classical groups G of rank greater than or equal to 2 over a commutative or module finite ring M (since such rings are quasi-weak Noetherian) and settles positively unanswered cases of normality for these group functors.
Erscheinungsjahr
1995
Zeitschriftentitel
Mathematical Proceedings of the Cambridge Philosophical Society
Band
118
Seite(n)
35-47
ISSN
0305-0041
Page URI
https://pub.uni-bielefeld.de/record/1640490

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Bak A, Vavilov N. Normality for Elementary Subgroup Functors. Mathematical Proceedings of the Cambridge Philosophical Society. 1995;118:35-47.
Bak, A., & Vavilov, N. (1995). Normality for Elementary Subgroup Functors. Mathematical Proceedings of the Cambridge Philosophical Society, 118, 35-47. doi:10.1017/S0305004100073436
Bak, A., and Vavilov, N. (1995). Normality for Elementary Subgroup Functors. Mathematical Proceedings of the Cambridge Philosophical Society 118, 35-47.
Bak, A., & Vavilov, N., 1995. Normality for Elementary Subgroup Functors. Mathematical Proceedings of the Cambridge Philosophical Society, 118, p 35-47.
A. Bak and N. Vavilov, “Normality for Elementary Subgroup Functors”, Mathematical Proceedings of the Cambridge Philosophical Society, vol. 118, 1995, pp. 35-47.
Bak, A., Vavilov, N.: Normality for Elementary Subgroup Functors. Mathematical Proceedings of the Cambridge Philosophical Society. 118, 35-47 (1995).
Bak, Anthony, and Vavilov, N. “Normality for Elementary Subgroup Functors”. Mathematical Proceedings of the Cambridge Philosophical Society 118 (1995): 35-47.