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On the first cohomology of cocompact arithmetic groups

✍ Scribed by T N Venkataramana

Book ID: 112919729
Publisher: Indian Academy of Sciences
Year: 1996
Tongue: English
Weight: 767 KB
Volume: 106
Category: Article
ISSN: 0253-4142
DOI: 10.1007/bf02867433

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## Abstract Let __F__ be a totally real number field and let __E|F__ be a cyclic Galois extension with Galois group generated by σ. Let __G__~0~|__F__ be a connected semi simple algebraic group defined over __F__, put __G__ = res ℚ(__G__~0~ x ~__F__~__E__) and assume that __G__~0~(F ⊗ ℝ) contains a