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Almost all genralized extraspecial p-groups are resistant

Stancu, Radu
Published in Journal of Algebra. 2002, vol. 249, no. 1, p. 120-126
Abstract A p-group P is called resistant if, for any finite group G having P as a Sylow p-subgroup, the normalizer NG(P) controls p-fusion in G. The aim of this paper is to prove that any generalized extraspecial p-group P is resistant, excepting the case when P = E × A, where A is elementary abelian and E is dihedral of order 8 (when p = 2) or extraspecial of order p3 and exponent p (when p is odd). This generalizes a result of Green and Minh.
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STANCU, Radu. Almost all genralized extraspecial p-groups are resistant. In: Journal of Algebra, 2002, vol. 249, n° 1, p. 120-126. https://archive-ouverte.unige.ch/unige:12306

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Deposited on : 2010-11-04

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