The Iwasava decomposition and intermediate subgroups of the Steinberg groups over the field of fractions of a principal ideal ring |
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| Authors: | T V Moiseenkova Ya N Nuzhin |
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| Institution: | (1) Institute of Fundamental Development, Siberian Federal University, St. Kirenskogo 26, Krasnoyarsk, 660074, Russia |
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| Abstract: | Abstract The Iwasava decomposition is proved for the Steinberg groups of types 2
A
2l−1, 2
D
l
, 2
E
6, 3
D
4 over the field of fractions of a principal ideal ring. By using this decomposition, it is described that subgroups exist
between the Steinberg groups over the rings D and K under some restrictions on the ring D.
This work was partially supported by RFFI (Grant No. 08-01-00824) |
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| Keywords: | principal ideal ring Steinberg group intermediate subgroups |
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