On essential cohomology of powerful $p$-groups

Authors

FATMA ALTUNBULAK AKSU

Abstract

For an odd prime $p$, we prove that a finite powerful $p$-group having rank two Frattini quotient has nonzero essential cohomology. We also provide some examples and applications.

DOI

10.3906/mat-1806-51

Keywords

Cohomology of groups, essential cohomology, powerful $p$-groups

First Page

439

Last Page

447

Recommended Citation

AKSU, FATMA ALTUNBULAK (2019) "On essential cohomology of powerful $p$-groups," Turkish Journal of Mathematics: Vol. 43: No. 1, Article 35. https://doi.org/10.3906/mat-1806-51
Available at: https://journals.tubitak.gov.tr/math/vol43/iss1/35