The varieties of the mod p cohomology rings of extra special p-groups for an odd prime p
The varieties of the mod p cohomology rings of extra special p-groups for an odd prime p
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奇素数 p 的超特殊 p 群的 mod p 上同调环的变种
DOI：
10.1017/s0305004100000840
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发表时间：
1983
影响因子：
0.8
通讯作者：
N. Yagita
中科院分区：
文献类型：
--
作者：
M. Tezuka;N. Yagita
本文试图确定奇素数p的额外特殊p-群的模p上同调环。Quillen已经计算了模2情形[8]。在我们的例子中，它的结构似乎非常复杂[6]。根据Serre [11]，我们考虑偶数次上同调环所定义的簇似乎是合理的。本文的主要结果（定理5.3）给出了上同调环的一个子代数，使得包含同态诱导簇间的同胚。
In this paper we attempt to determine the mod p cohomology rings of the extra special p-groups for an odd prime p. Quillen has calculated the mod 2 case [8]. In our case, its structure seems to be very complicated [6]. It seems reasonable that we consider the variety defined by the cohomology ring of even degree according to Serre [11]. The main result of this paper (Theorem 5.3) gives a subalgebra of the cohomology ring such that the inclusion homomorphism induces a homeomorphism between the varieties.