Ascher Wagner
# Ascher Wagner

Ascher Otto Wagner (12 October 1930, in Vienna – 27 May 2000, in London) was an Austrian and British mathematician, specializing in the theory of finite groups and finite projective planes. He is known for the Dembowski–Wagner theorem[de].

Ascher Wagner received his Ph.D. in 1958 with dissertation Some Problems on Projective Planes and Related Topics in the Theory of Algebraic Operations supervised by Kurt Hirsch. Wagner was a faculty member at the University of London and then at the University of Birmingham.

In 1958 he married Gillian Mary Jaidka (1929–1993) in Hampstead, London.

## Selected publications

* Ostrom, T. G.; Wagner, A. (1959). "On projective and affine planes with transitive collineation groups". Mathematische Zeitschrift. 71: 186–199. doi:10.1007/BF01181398. S2CID 120229235.
* Livingstone, Donald; Wagner, Ascher (1965). "Transitivity of finite permutation groups on unordered sets". Mathematische Zeitschrift. 90 (5): 393–403. doi:10.1007/BF01112361. hdl:2027.42/46299. S2CID 122851941.
* Wagner, A. (1966). "Normal subgroups of triply-transitive permutation groups of odd degree". Mathematische Zeitschrift. 94 (3): 219–222. doi:10.1007/BF01111350. S2CID 121594270.
* Wagner, A. (1967). "On the classification of the classical groups". Mathematische Zeitschrift. 97: 66–76. doi:10.1007/BF01111124. S2CID 119555774.
* Wagner, Ascher (1974). "Groups generated by elations". Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 41: 190–205. doi:10.1007/BF02993513. S2CID 122286736.
* Wagner, Ascher (1976). "The faithful linear representation of least degree of $S_n$ and $A_n$ over a field of characteristic 2". Mathematische Zeitschrift. 151 (2): 127–137. doi:10.1007/BF01213989. S2CID 125109537.
* Wagner, Ascher (1977). "The faithful linear representations of least degree of $S_n$ and $A_n$ over a field of odd characteristic". Mathematische Zeitschrift. 154 (2): 103–114. doi:10.1007/BF01241824. S2CID 121778952.
* Wagner, Ascher (1977). "An observation on the degrees of projective representations of the symmetric and alternating group over an arbitrary field". Archiv der Mathematik. 29: 583–589. doi:10.1007/BF01220457. S2CID 120794659.
* Wagner, Ascher (1978). "The subgroups of $PSL(5,2^a)".$ Results in Mathematics. 1 (1–2): 207–226. doi:10.1007/BF03322937. S2CID 120709916.
* Wagner, A. (1978). "Collineation groups generated by homologies of order greater than 2". Geometriae Dedicata. 7 (4). doi:10.1007/BF00152059. S2CID 120165236.
* Di Martino, Lino; Wagner, Ascher (1979). "The irreducible subgroups of $PSL(V_5,q),$ where q is odd". Results in Mathematics. 2 (1–2): 54–61. doi:10.1007/BF03322944. S2CID 120441757.
* Wagner, Ascher (1980). "Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2". Geometriae Dedicata. 9 (2). doi:10.1007/BF00147439. S2CID 122038455.
* Wagner, Ascher (1981). "Determination of the finite primitive reflection groups over an arbitrary field of characteristic not two". Geometriae Dedicata. 10 (1–4): 191–203. doi:10.1007/BF01447423. S2CID 189876932.
* Wagner, Ascher (1981). "Determination of the finite primitive reflection groups over an arbitrary field of characteristic not 2". Geometriae Dedicata. 10 (1–4): 475–523. doi:10.1007/BF01447440. S2CID 189877102.
* Wagner, Ascher (1981). "Theorems About Reidemeister Conditions". In: Plaumann P., Strambach K. (eds.) Geometry — von Staudt's Point of View. NATO Advanced Study Institutes Series (Series C — Mathematical and Physical Sciences). Vol. 70. Dordrecht: Springer. pp. 249–273. doi:10.1007/978-94-009-8489-9_10. ISBN 978-94-009-8491-2.
* Wagner, Ascher (1983). "Some reflections on the history of the study of finite projective planes". In Johnson, Norman L.; Kallaher, Michael J.; Long, Calvin T. (eds.). In: Finite Geometries: Proceedings of a Conference in Honor of T. G. Ostrom. Lecture Notes in Pure and Applied Mathematics, vol. 82. CRC Press. pp. 419–426. ISBN 978-0-8247-1052-1.
* Siemons, Johannes; Wagner, Ascher (1985). "On finite permutation groups with the same orbits on unordered sets" (PDF). Archiv der Mathematik. 45 (6): 492–500. doi:10.1007/BF01194888. S2CID 55745363.
* Key, Jennifer D.; Siemons, Johannes; Wagner, Ascher (1986). "Regular sets on the projective line" (PDF). Journal of Geometry. 27 (2): 188–194. doi:10.1007/BF01224556. S2CID 121690146.
