Divisible designs admitting a Suzuki group as an automorphism group

Ralph-Hardo Schulz; Antonino~Giorgio Spera

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 3, page 705-714
  • ISSN: 0392-4041

How to cite

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Schulz, Ralph-Hardo, and Spera, Antonino~Giorgio. "Divisible designs admitting a Suzuki group as an automorphism group." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 705-714. <http://eudml.org/doc/196067>.

@article{Schulz1998,
author = {Schulz, Ralph-Hardo, Spera, Antonino~Giorgio},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {divisible designs; translation planes; Desarguesian plane; translation group; Suzuki group; automorphism group},
language = {eng},
month = {10},
number = {3},
pages = {705-714},
publisher = {Unione Matematica Italiana},
title = {Divisible designs admitting a Suzuki group as an automorphism group},
url = {http://eudml.org/doc/196067},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Schulz, Ralph-Hardo
AU - Spera, Antonino~Giorgio
TI - Divisible designs admitting a Suzuki group as an automorphism group
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 705
EP - 714
LA - eng
KW - divisible designs; translation planes; Desarguesian plane; translation group; Suzuki group; automorphism group
UR - http://eudml.org/doc/196067
ER -

References

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  1. BETH, T.- JUNGNICKEL, D.- LENZ, H., Design Theory, Institut, Mannheim-Wien-Zürich (1985). Zbl0569.05002MR779284
  2. CZERWINSKI, T., Finite translation planes with collineation groups doubly transitive on the points at infinity, J. Algebra, 22 (1970), 428-441. Zbl0243.50011MR313933
  3. KALLAHER, M., Translation Planes, Ch. 5 of F. Buekenhout (Ed.), Handbook of Incidence Geometry, Elsevier (1995). Zbl0831.51004MR1360720
  4. LÜNEBURG, H., Translation Planes, Springer-Verlag, Berlin-Heidelber-New York (1980). Zbl0446.51003MR572791
  5. LÜNEBURG H., H., Uber projective Ebenen, in denen jede Fahne von einer nicht trivialen Elation Invariant gelassen wied, Abh. Math. Sem. Univ. Hamburg, 29 (1965). 37-76. Zbl0147.19704MR187140
  6. SCHULZ, R.-H., Uber translationsebenen mit Kollineationgruppen, die die Punkteder ausgezeichneten Geraten zweifach transitiv permutieren, Math. Z., 122 (1971), 246-266. Zbl0208.23604MR287429
  7. SPERA, A. G., Transitive extensions of imprimitive groups, Discr. Math., 155 (1996), 233-241. Zbl0855.20001MR1401376
  8. SPERA, A. G., On divisible designs and local algebra, J. Comb. Designs, 3, n. 3 (1995), 203-212. Zbl0886.05039MR1324476
  9. SPERA, A. G., Divisible designs associated with translation planes admitting a 2-transitive collineation groups on the points at infinity, manuscript. Zbl0960.05033
  10. SUZUKI, M., On a class of doubly transitive groups, Ann. Math., 75 (1962) 105-145. Zbl0106.24702MR136646

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