Geodesic
Isomorphic Subgroups of Finite p-groups Revisited
Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 576-579

Voir la notice de l'article provenant de la source Cambridge University Press

Several papers of George Glauberman have appeared which analyze the structure of a finite p-group which contains two isomorphic maximal subgroups. The usual setting for an application of these results is a finite group, a p-subgroup, and an isomorphism of this p-group induced by conjugation. In this paper we prove a stronger version of Glauberman's Theorem 8.1 [1]. 
Specht, William. Isomorphic Subgroups of Finite p-groups Revisited. Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 576-579. doi: 10.4153/CJM-1974-053-5
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[1] 1. Glauberman, G., Isomorphic subgroups of finite p-groups. J, Can. J. Math. 20 (1971), 983–1022. Google Scholar

[2] 2. Glauberman, G., Isomorphic subgroups of finite p-groups. II, Can. J. Math. 20 (1971), 1023–1039. Google Scholar

[3] 3. Gorenstein, D., Finite groups (Harper and Row, New York, 1968). Google Scholar

[4] 4. Specht, William, The quadratic pairs theorem in local analysis, Ph.D. thesis, University of Chicago, 1972. Google Scholar

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