Abstract
Let S be a subgroup of a group G. A set \({\Pi= \{H_1, \ldots , H_n\}}\) of subgroups \({H_i (i = 1, \ldots ,n)}\) with \({G=\cup_{H_i\in\Pi}H_i}\) is said to be an equal quasi-partition of G if \({H_i\cap H_j\cong S}\) and \({|H_i|=|H_j|}\) for all \({H_i, H_j\in\Pi}\) with \({i\ne j}\) . In this paper we investigate finite p-groups such that a subset of their maximal subgroups form an equal quasi-partition.
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Atanasov, R., Foguel, T. & Penland, A. Equal Quasi-Partition of p-Groups. Results. Math. 64, 185–191 (2013). https://doi.org/10.1007/s00025-013-0308-8
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DOI: https://doi.org/10.1007/s00025-013-0308-8