Mod p cohomology algebras of finite groups with extraspecial Sylow p-subgroups
نویسندگان
چکیده
منابع مشابه
ESSENTIAL COHOMOLOGY AND EXTRASPECIAL p-GROUPS
Let p be an odd prime number and let G be an extraspecial pgroup. The purpose of the paper is to show that G has no non-zero essential mod-p cohomology (and in fact that H∗(G, Fp) is Cohen-Macaulay) if and only if |G| = 27 and exp(G) = 3.
متن کاملON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS
Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...
متن کاملIrreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$
Here we construct and count all ordinary irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$.
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2000
ISSN: 0385-4035
DOI: 10.14492/hokmj/1350912972