Mod p cohomology algebras of finite groups with extraspecial Sylow p-subgroups

Finite Groups with p-Sylow Coverings

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.

ON 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 ...

finite groups with p-sylow coverings

Irreducible 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 ${}^3D_4(p^{3m})$.