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, F. A (2019). On essential cohomology of powerful $p$-groups. Turkish Journal of Mathematics 43 (1): 439-447. https://doi.org/10.3906/mat-1806-51

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