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초록
We show that every finite group G has a set of cohomological elements satisfying ceratin algebraic property L-1 which can be regarded as a generalized notion of an algebraic counterpart to the topological phenomenon of free actions on finite dimensional homotopy spheres. We extend this result to a certain class of groups which contains groups of finite virtual cohomological dimension.
키워드
Projective dimension; type Phi; virtual cohomological dimension; INFINITE GROUPS; COMPLEXITY; PERIODICITY; COHOMOLOGY; VARIETIES; SUBGROUPS
- 제목
- ON GROUPS OF TYPE L<SUP>-1</SUP>
- 저자
- Jo, Jang Hyun
- 발행일
- 2010-06
- 유형
- Article
- 권
- 21
- 호
- 6
- 페이지
- 727 ~ 736