@article{RSMUP_1997__98__67_0, author = {Lucchini, Andrea}, title = {Generating wreath products and their augmentation ideals}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {98}, year = {1997}, pages = {67-87}, mrnumber = {1492969}, zbl = {0898.20018}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1997__98__67_0} }
Lucchini, Andrea. Generating wreath products and their augmentation ideals. Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997) pp. 67-87. http://gdmltest.u-ga.fr/item/RSMUP_1997__98__67_0/
[1] Atlas of Finite Groups, Clarendon Press, Oxford (1985). | MR 827219 | Zbl 0568.20001
, - - - ,[2] R. GURALNICK, Some applications of the first cohomology Group, J. Algebra, 90 (1984), pp. 446-460. | MR 760022 | Zbl 0554.20017
-[3] The minimal number of generators of wreath products of nilpotent groups, Contemporary Mathematics, 93 (1989), pp. 115-121. | MR 1003346 | Zbl 0675.20023
- ,[4] CHYE, Minimal generating sets for some wreath products of groups, Bull. Austral. Math. Soc., 9 (1973), pp. 127-136. | MR 507007 | Zbl 0264.20030
[5] K. W. GRUENBERG - L. G. KOVÁCS, The presentation rank of a direct product of finite groups, J. Algebra, 28 (1974), pp. 597-603. | MR 424969 | Zbl 0293.20033
-[6] VOLTA - A. LUCCHINI, Generation of almost simple groups, J. Algebra, 178 (1995), pp. 194-223. | MR 1358262 | Zbl 0839.20021
[7] Cohomological Topics in Group Theory, Lectures Notes Math. no. 143, Springer (1970). | MR 279200 | Zbl 0205.32701
,[8] Über die Relationen moduln einer endlichen Gruppe, Math. Z., 118 (1970). | MR 276309 | Zbl 0213.30303
,[9] Relation modules of finite groups, CBMS Monograph 25, Amer. Math. Soc., Providence (1976), pp. 408-421. | MR 457538 | Zbl 0327.20019
,[10] Groups of non zero presentation rank, Symposia Math., 17 (1976), pp. 215-224. | MR 412298 | Zbl 0358.20045
,[11] The Eulerian functions of a group, Quart. J. Math., 7 (1936), pp. 134-151. | JFM 62.0082.02
,[12] Some questions on the number of generators of a finite group, Rend. Sem. Mat. Univ. Padova, 83 (1990), pp. 201-222. | Numdam | MR 1066442 | Zbl 0734.20012
,[13] Generating wreath products, Arch. Math., 62 (1994), pp. 481-490. | MR 1274101 | Zbl 0811.20030
,[14] Generators for finite groups with a unique minimal normal subgroup, Rend. Sem. Mat. Univ. Padova, to appear. | Numdam | MR 1492976 | Zbl 0895.20027
- ,[15] Homology, Springer (1963). | MR 1344215 | Zbl 0818.18001
,[16] On the minimal number of generators of certain groups, Groups St Andrews 1989, London Math. Soc. Lecture Note Series, 160, pp. 408-421. | MR 1123995 | Zbl 0742.20031
- ,[17] Relation modules of finite groups and related topics, Algebra i Logika, 12 (1973), pp. 351-369. | MR 387391 | Zbl 0286.20045
,[18] Integral representation and presentations of finite groups, Lectures Notes Math. no. 744, Springer (1979). | Zbl 0431.20001
,[19] Cohomological characterizations of finite solvable and nilpotent groups, J. Pure Appl. Algebra, 11 (1977), pp. 293-301. | MR 466345 | Zbl 0374.20060
,[20] Decomposition of the relation modules of a finite group, J. London Math. Soc., 12 (1976), pp. 262-266. | MR 390030 | Zbl 0325.20015
- ,