ON GROUPS OF TYPE L<SUP>-1</SUP>

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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 dimensiontype Phivirtual cohomological dimensionINFINITE GROUPSCOMPLEXITYPERIODICITYCOHOMOLOGYVARIETIESSUBGROUPS
제목
ON GROUPS OF TYPE L<SUP>-1</SUP>
저자
Jo, Jang Hyun
DOI
10.1142/S0129167X10006185
발행일
2010-06
유형
Article
저널명
International Journal of Mathematics
21
6
페이지
727 ~ 736