GAP (smallgrp) - References

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[Bag98] Bagnera, G., La composizione dei gruppi finiti il cui grado è la quinta potenza di un numero primo, Annali di Matematica Pura ed Applicata, 1 (1898), 137–228, (10.1007/BF02419192).

[BE99a] Besche, H. U. and Eick, B., Construction of finite groups, J. Symbolic Comput., 27 (4) (1999), 387–404.

[BE99b] Besche, H. U. and Eick, B., The groups of order at most 1000 except 512 and 768, J. Symbolic Comput., 27 (4) (1999), 405–413.

[BE01] Besche, H. U. and Eick, B., The groups of order \(q^n \cdot p\), Comm. Algebra, 29 (4) (2001), 1759–1772.

[BEO01] Besche, H. U., Eick, B. and O'Brien, E. A., The groups of order at most 2000, Electron. Res. Announc. Amer. Math. Soc., 7 (2001), 1–4 (electronic).

[BEO02] Besche, H. U., Eick, B. and O'Brien, E. A., A millennium project: constructing small groups, Internat. J. Algebra Comput., 12 (5) (2002), 623–644.

[Bur21] Burrell, D., On the number of groups of order 1024, Communications in Algebra (2021), 1–3, (10.1080/00927872.2021.2006680).

[DE05] Dietrich, H. and Eick, B., On the groups of cube-free order, J. Algebra, 292 (1) (2005), 122–137.

[EO99a] Eick, B. and O'Brien, E. A., Enumerating \(p\)-groups, J. Austral. Math. Soc. Ser. A, 67 (2) (1999), 191–205
(Group theory).

[EO99b] Eick, B. and O'Brien, E. A. (Matzat, B. H., Greuel, G.-M. and Hiss, G., Eds.), The groups of order \(512\), in Algorithmic algebra and number theory (Heidelberg, 1997), Springer, Berlin (1999), 379–380
(Proceedings of Abschlusstagung des DFG Schwerpunktes Algorithmische Algebra und Zahlentheorie in Heidelberg).

[Gir03] Girnat, B., Klassifikation der Gruppen bis zur Ordnung \(p^5\), Staatsexamensarbeit, TU Braunschweig, Braunschweig, Germany (2003).

[Höl93] Hölder, O., Die Gruppen der Ordnungen \(p^3\), \(pq^2\), \(pqr\), \(p^4\), Mathematische Annalen, 43 (1893), 301–412, (10.1007/BF01443651).

[Höl95] Hölder, O., Die Gruppen mit quadratfreier Ordnungszahl, Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse (1895), 211–229.

[JNO90] James, R., Newman, M. F. and O'Brien, E. A., The groups of order 128, Journal of Algebra, 129 (1) (1990), 136–158, (10.1016/0021-8693(90)90244-I).

[New77] Newman, M. F. (Bryce, R. A., Cossey, J. and Newman, M. F., Eds.), Determination of groups of prime-power order, in Group theory (Proc. Miniconf., Australian Nat. Univ., Canberra, 1975), Springer, Lecture Notes in Math., 573, Berlin (1977), 73–84. Lecture Notes in Math., Vol. 573
(Lecture Notes in Mathematics, Vol. 573).

[NOV04] Newman, M. F., O'Brien, E. A. and Vaughan-Lee, M. R., Groups and nilpotent Lie rings whose order is the sixth power of a prime, J. Algebra, 278 (1) (2004), 383–401.

[O'B90] O'Brien, E. A., The \(p\)-group generation algorithm, J. Symbolic Comput., 9 (5-6) (1990), 677–698
(Computational group theory, Part 1).

[O'B91] O'Brien, E. A., The groups of order \(256\), J. Algebra, 143 (1) (1991), 219–235.

[OV05] O'Brien, E. A. and Vaughan-Lee, M. R., The groups with order \(p^7\) for odd prime \(p\), J. Algebra, 292 (1) (2005), 243–258.

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