Free Actions of Extraspecial $p$-Groups on $S^n \times S^n$

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dc.creatorHambleton, Ian
dc.creatorUnlu, Ozgun
dc.date2007-01-19
dc.date.accessioned2026-07-07T07:42:20Z
dc.date.available2026-07-07T07:42:20Z
dc.descriptionLet $p$ be an odd regular prime, and let $G_p$ denote the extraspecial $p$--group of order $p^{3}$ and exponent $p$. We show that $G_p$ acts freely and smoothly on $S^{2p-1} \times S^{2p-1}$. For $p=3$ we explicitly construct a free smooth action of a Lie group $\widetilde{G}_3$ containing $G_3$ on $S^{5} \times S^{5}$. In addition, we show that any finite odd order subgroup of the exceptional Lie group $\Gtwo $ admits a free smooth action on $S^{11}\times S^{11}$.
dc.identifierhttps://arxiv.org/abs/math/0701558
dc.identifierhttp://arxiv.org/abs/math/0701558
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122406
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject57S17; 57R67
dc.titleFree Actions of Extraspecial $p$-Groups on $S^n \times S^n$
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