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Compositio Mathematica
ISSN: 0010-437X

EISSN: 1570-5846

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Volume 150 - February 2014

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Research Article

Abstract simplicity of locally compact Kac–Moody groups
Part of:
- Structure and classification of infinite or finite groups
- Linear algebraic groups and related topics
Timothée Marquis
Published online by Cambridge University Press:

10 March 2014, pp. 713-728
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In this paper, we establish that complete Kac–Moody groups over finite fields are abstractly simple. The proof makes essential use of Mathieu and Rousseau’s construction of complete Kac–Moody groups over fields. This construction has the advantage that both real and imaginary root spaces of the Lie algebra lift to root subgroups over arbitrary fields. A key point in our proof is the fact, of independent interest, that both real and imaginary root subgroups are contracted by conjugation of positive powers of suitable Weyl group elements.

Back Cover (IBC, OBC) and matter

COM volume 150 issue 4 Cover and Back matter
Published online by Cambridge University Press:

07 May 2014, pp. b1-b2
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COM volume 150 issue 4 Cover and Front matter
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07 May 2014, pp. f1-f4
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Volume 150 - February 2014

Research Article

Abstract simplicity of locally compact Kac–Moody groups

Back Cover (IBC, OBC) and matter

COM volume 150 issue 4 Cover and Back matter

Front Cover (OFC, IFC) and matter

COM volume 150 issue 4 Cover and Front matter

Compositio Mathematica

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Volume 150 - February 2014

Research Article

Abstract simplicity of locally compact Kac–Moody groups

Back Cover (IBC, OBC) and matter

COM volume 150 issue 4 Cover and Back matter

Front Cover (OFC, IFC) and matter

COM volume 150 issue 4 Cover and Front matter