It is proved that the p- groups of submaximal class do not admit equipartitions other than the atomic (Theorem 3.2). This result is then wed to give a complete classification of the groups of order p6 admitting nonatomic equipartitions (Theorem 5.1).
On the equipartitions of finite groups / V.PANNONE. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 156:(1990), pp. 323-339. [10.1007/BF01766985]
On the equipartitions of finite groups
PANNONE, VIRGILIO
1990
Abstract
It is proved that the p- groups of submaximal class do not admit equipartitions other than the atomic (Theorem 3.2). This result is then wed to give a complete classification of the groups of order p6 admitting nonatomic equipartitions (Theorem 5.1).
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