Classification of metabelian $p$-groups
HTML articles powered by AMS MathViewer
- by Wu Nan Chou PDF
- Trans. Amer. Math. Soc. 294 (1986), 151-176 Request permission
Abstract:
Let $G$ be a two-generator metabelian group of exponent $p$ with class of nilpotence $c$, where $c \leqslant p - 1$ and $p$ is an odd prime. In this paper, we shall consider the classification problem when $|{G_2}/{G_3}| = p$, $|{G_3}/{G_4}| = {p^2}$and $|{G_4}/{G_5}| \leqslant {p^2}$.References
- B. Huppert, Endliche Gruppen. I, Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703, DOI 10.1007/978-3-642-64981-3
- R. J. Miech, The metabelian $p$-groups of maximal class, Trans. Amer. Math. Soc. 236 (1978), 93–119. MR 486126, DOI 10.1090/S0002-9947-1978-0486126-8
- R. J. Miech, A metabelian, prime power classification problem, J. London Math. Soc. (2) 23 (1981), no. 1, 68–84. MR 602240, DOI 10.1112/jlms/s2-23.1.68
- R. J. Miech, A commutator basis, Quart. J. Math. Oxford Ser. (2) 34 (1983), no. 135, 357–373. MR 711526, DOI 10.1093/qmath/34.3.357
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 294 (1986), 151-176
- MSC: Primary 20D15; Secondary 20F12
- DOI: https://doi.org/10.1090/S0002-9947-1986-0819940-1
- MathSciNet review: 819940