×
Robinson, G. R.; Turull, A.

On finite groups with a certain Sylow normalizer. (English) Zbl 0449.20038

J. Algebra 68, 144-154 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0449.20038

Cited in 2 Documents

MSC:

20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D40 Products of subgroups of abstract finite groups
20C20 Modular representations and characters
20C25 Projective representations and multipliers

Keywords:

p-solvable group; Sylow p-subgroup; p-length; modular character

Citations:

Zbl 0253.17005; Zbl 0398.20011
Cite Review PDF
Full Text: DOI

References:

[1] Dornhoff, L., (Group Representation Theory, Vol. B (1972), Dekker: Dekker New York) · Zbl 0236.20004
[2] Feit, W., Finite linear groups, J. Algebra, 5, 378-400 (1967) · Zbl 0228.20019
[3] Glauberman, G., A sufficient condition for \(p\)-stability, (Proc. London Math. Soc. Ser. 3, 25 (1972)), 253-287 · Zbl 0242.20018
[4] Hall, P.; Higman, G., On the \(p\)-length of \(p\)-soluble groups and reduction theorems for Burnside’s problem, (Proc. London Math. Soc. Ser. 3, 6 (1956)), 1-42 · Zbl 0073.25503
[5] Huppert, B., Endliche Gruppen, I (1967), Springer-Verlag: Springer-Verlag Berlin/New York · Zbl 0217.07201
[6] Puig, L., Structure local dans les groupes finis, Bull. Soc. Math. France Mémoire, 47 (1976) · Zbl 0355.20024
[7] Puig, L., Structure locale et charactères, J. Algebra, 56, 24-42 (1979) · Zbl 0398.20011
[8] Puig, L., Sous-groupes de contrôle et critères de non-simplicité, J. Algebra, 52, 504-525 (1978) · Zbl 0382.20021
[9] Smith, S. D.; Tyrer, A. P., On finite groups with a certain Sylow normalizer, I, II, J. Algebra, 26, 343-367 (1973) · Zbl 0264.20013
[10] Smith, S. D., On finite groups with a certain Sylow normalizer, III, J. Algebra, 29, 489-503 (1974) · Zbl 0283.20005
[11] Thompson, J. G., Vertices and sources, J. Algebra, 6, 1-6 (1967) · Zbl 0167.29902
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.