Essential Cohomology of the p-Groups with a Cyclic Subgroup of Index p

TL;DR

This paper explicitly computes the mod-p essential cohomology ideals for p-groups that contain a cyclic subgroup of index p, providing detailed algebraic insights into their cohomological structure.

Contribution

It offers a precise determination of the essential cohomology ideals for a specific class of p-groups, advancing understanding of their algebraic properties.

Findings

Explicit descriptions of essential cohomology ideals for these p-groups

Enhanced understanding of the cohomological structure of p-groups with cyclic subgroups of index p

Foundational results for further algebraic and topological applications

Abstract

In this paper we determine explicitly the mod-p essential cohomology ideals of the p-groups with a cyclic subgroup of index p.