Action-induced nested classes of groups and jump (co)homology
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Set Up
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AbstractUsing fixed-point-free group actions, we set up a scheme to define nested classes of groups indexed over ordinals. Restricting to cellular actions on CW-complexes, we find new classes of groups as well as new characterizations for some well-known classes. We extend some of the properties of the cohomological dimension of a group to groups with jump (co)homology and study their implications to cellular actions on finite dimensional CW-complexes that satisfy a quite general homological condition.
1973 ◽
Vol s3-27
(1)
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pp. 69-87
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1987 ◽
pp. 385-401
2018 ◽
Vol 56
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pp. 234-259
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2008 ◽
Vol 144
(2)
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pp. 329-336
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2010 ◽
Vol 171
(2)
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pp. 1387-1400
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1982 ◽
Vol 274
(2)
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pp. 631-631
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