Linear groups with large cyclic subgroups and translation planes
Rendiconti del Seminario Matematico della Università di Padova (1987)
- Volume: 77, page 69-113
- ISSN: 0041-8994
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topDempwolff, U.. "Linear groups with large cyclic subgroups and translation planes." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 69-113. <http://eudml.org/doc/108071>.
@article{Dempwolff1987,
author = {Dempwolff, U.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {irreducible subgroups; quasisimple group; groups of Lie type; modular representation; degrees of projective representations; translation planes},
language = {eng},
pages = {69-113},
publisher = {Seminario Matematico of the University of Padua},
title = {Linear groups with large cyclic subgroups and translation planes},
url = {http://eudml.org/doc/108071},
volume = {77},
year = {1987},
}
TY - JOUR
AU - Dempwolff, U.
TI - Linear groups with large cyclic subgroups and translation planes
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 69
EP - 113
LA - eng
KW - irreducible subgroups; quasisimple group; groups of Lie type; modular representation; degrees of projective representations; translation planes
UR - http://eudml.org/doc/108071
ER -
References
top- [1] P. Cameron, Finite permutation groups and finite simple groups, Bull. Lond. Math. Soc., 13 (1981), pp. 1-22. Zbl0463.20003MR599634
- [2] U. Dempwolff, Zentralisatoren zentraler Involutionen in L n(2), Ill. J. Math., 17 (1973), pp. 465-497. Zbl0258.20016MR320135
- [3] U. Dempwolff, On the second cohomology of GL(n, 2), J. Austral. Math. Soc., 16 (1975), pp. 207-209. Zbl0271.20024MR357639
- [4] U. Dempwolff - A. Reifart, The classification of the transtation planes of order 16I, Geom. Dedicata, 15 (1983), pp. 137-153. Zbl0532.51003MR737954
- [5] P.W. Donovan - M.R.- FREISLICH, Indecomposable representations in characteristic two of the simple groups of order not divisible by eight, Bull. Austral. Math. Soc., 15 (1976), pp. 407-419. Zbl0354.20005MR430047
- [6] D. Gorenstein, Finite simple groups, Plenum Press, New York, London, 1982. Zbl0483.20008MR698782
- [7] C. Hering, Transitive linear groups which contain irreducible subgroups of prime order I, Geom. Dedicata, 2 (1974), pp. 45-460. Zbl0292.20045MR335659
- [8] C. Hering, Transitive linear groups which contain irreducible subgroups of prime order II, J. Alg., 93 (1985), pp. 151-164. Zbl0583.20003MR780488
- [9] D. Higman, Flag transitive collineation groups of finite projective spaces, Ill. J. Math., 6 (1962), pp. 434-446. Zbl0105.13101MR143098
- [10] Y. Hiramizine, On (G, Γ, n, q)-translation planes, to appear.
- [11] B. Huppert, Endliche Gruppen I-III, Springer, Berlin-Heidelberg-New York, 1967-1982. Zbl0217.07201MR224703
- [12] V. Iha, On tangentially transitive translation planes and related systems, Geom. Dedicata, 4 (1975), pp. 457-483. Zbl0329.50013MR400034
- [13] V. Iha - M. KALLAHER, On spreads admitting projective linear groups, Canadian J. Math., 33 (1982), pp. 1487-1497. Zbl0451.51005MR645241
- [14] V. Landazuri - G. Seitz, On the minimal degrees of projective irreducible representations of finite Chevalley groups, J. Alg., 32 (1974), pp. 418-443. Zbl0325.20008MR360852
- [15] M. Liebeck, On the orders of maximal subgroups of the finite Chevalley groups, Proc. London Math. Soc., 50 (1985), pp. 426-446. Zbl0591.20021MR779398
- [16] M. Liebeck, The affine permutation of rank three, to appear. Zbl0621.20001
- [17] R. Martineau, On the 2-modular representations of the Suzuki groups, Amer. J. Math., 94 (1972), pp. 55-72. Zbl0243.20009MR360777
- [18] T.G. Ostrom, Blementary abelian 2-groups in finite translation planes, Arch. Math., 36 (1981), pp. 2-21. Zbl0437.51009MR612232
- [19] R. Steinberg, Automorphisms of finite linear groups, Canad. J. Math., 12 (1960), pp. 606-615. Zbl0097.01703MR121427
- [20] R. Steinberg, Representations of algebraic groups, Nagoya J. Math., 22 (1963), pp. 33-56. Zbl0271.20019MR155937
- [21] A. Wagner, An observation on the degrees of projective representations of the symmetric al alternating group over arbitrary fields, Arch. Math., 29 (1977), pp. 583-589. Zbl0383.20009MR460451
- [22] K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. Math. Phys., 3 (1892), pp. 265-284. MR1546236JFM24.0176.02
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