Representations, resolutions and Quillen's dimension theorem
Representations, resolutions and Quillen's dimension theorem
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DOI：
10.1016/0022-4049(81)90079-7
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发表时间：
1981-08
影响因子：
0.8
通讯作者：
J. Alperin;L. Evens
中科院分区：
文献类型：
--
作者：
J. Alperin;L. Evens
There are a number of connections between the cohomology and the representation theory of finite groups. We shall give another such relation, this time between modular representations and cohomology. Projective resolutions have already proved to be the bridge between periodicity phenomena and modular representation theory of groups with a cyclic Sylow subgroup [2]. This has motivated study of these resolutions; here we shall see how an important invariant of a module, given by resolutions, can be calculated in terms of subgroups. Our general result implies a number of seemingly unrelated known results as well as new theorems.
