Abstract
Let p be a prime and F a field, not of characteristic p. Finite nonabelian p-subgroups of the following groups of degree p with coefficients in F are studied: GL, SL, PGL, PSL, U, SU, PU, PSU. The isomorphism and conjugacy classes of p-groups are determined together with their normalisers and p-overgroups.
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References
S.B. Conlon (1975), "p-groups with an abelian maximal subgroup and cyclic center", J. Austral. Math. Soc. (to appear).
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© 1977 Springer-Verlag
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Conlon, S.B. (1977). Nonabelian subgroups of prime-power order of classical groups of the same prime degree. In: Bryce, R.A., Cossey, J., Newman, M.F. (eds) Group Theory. Lecture Notes in Mathematics, vol 573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087809
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DOI: https://doi.org/10.1007/BFb0087809
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08131-9
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