engleski

Finite 2-groups G with abs(OMEGA_3(G))<=2^5

In this paper all finite 2-groups G are determined up to isomorphism with the property that G>OMEGA_3(G) and abs(OMEGA_3(G))<=2^5. It is also shown that, for each integer n>=2, any finite 2-group G containing exactly one subgroup of order 2^(n+2) and exponent at most 2^n satisfies abs(OMEGA_n(G))=2^(n+2)

Finite p-groups; isomorphism

nije evidentirano