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Elementary abelian subgroups in some special p-groups
Published 7 Nov 2017 in math.GR | (1711.02749v1)
Abstract: Let $P$ be a finite $p$-group and $p$ be an odd prime. Let $\mathcal{A}p(P){\geq2}$ be a poset consisting of elementary abelian subgroups of rank at least 2. If the derived subgroup $P'\cong C_p\times C_p$, then the spheres occurring in $\mathcal{A}p(P){\geq2}$ all have the same dimension.
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