Gruppi ed automorfismi

de Giovanni, Francesco

Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000), p. 273-286 / Harvested from Biblioteca Digitale Italiana di Matematica

Access to full text
Full (PDF)
Full (DjVu)

Publié le : 2000-06-01

MR 1769985 | Zbl 0977.20028

@article{BUMI_2000_8_3B_2_273_0,
     author = {Francesco de Giovanni},
     title = {Gruppi ed automorfismi},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {3-A},
     year = {2000},
     pages = {273-286},
     zbl = {0977.20028},
     mrnumber = {1769985},
     language = {it},
     url = {http://dml.mathdoc.fr/item/BUMI_2000_8_3B_2_273_0}
}

de Giovanni, Francesco. Gruppi ed automorfismi. Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000) pp. 273-286. http://gdmltest.u-ga.fr/item/BUMI_2000_8_3B_2_273_0/

Bibliographie

[1] Almazar, V. D.-Cossey, J., Automorphisms fixing subnormal subgroups of polycyclic groups, Glasgow Math. J., 41 (1999), 379-384. | MR 1720438 | Zbl 0946.20017

[2] Baer, R., Finite extensions of abelian groups with minimum condition, Trans. Amer. Math. Soc., 79 (1955), 521-540. | MR 71425 | Zbl 0065.01001

[3] Ban, G.-Yu, S., Minimal abelian groups that are not automorphism groups, Arch. Math. (Basel), 70 (1998), 427-434. | MR 1621966 | Zbl 0910.20016

[4] Brandl, R.-Franciosi, S.-De Giovanni, F., Minimal non-nilpotent groups as automorphism groups, Monats. Math., 112 (1991), 89-98. | MR 1126809 | Zbl 0736.20019

[5] Cooper, C. D. H., Power automorphisms of a group, Math. Z., 107 (1968), 335-356. | MR 236253 | Zbl 0169.33801

[6] Corner, A. L. S., Endomorphism algebras of large modules with distinguished submodules, J. Algebra, 11 (1969), 155-185. | MR 237557 | Zbl 0214.05606

[7] Corsi, G., Automorphisms fixing every normal subgroup of a $p$ -group, Boll. Un. Mat. Ital. (6), 4A (1985), 245-252. | MR 799778 | Zbl 0568.20025

[8] Curzio, M.-Franciosi, S.-De Giovanni, F., On automorphisms fixing infinite subgroups of groups, Arch. Math. (Basel), 54 (1990), 4-13. | MR 1029590 | Zbl 0664.20018

[9] Curzio, M.-Robinson, D. J. S.-Smith, H.-Wiegold, J., Some remarks on central automorphisms of hypercentral groups, Arch. Math. (Basel), 53 (1989), 327-331. | MR 1015995 | Zbl 0686.20033

[10] Dalle Molle, M., Sugli automorfismi che fissano i sottogruppi subnormali di un gruppo risolubile, Boll. Un. Mat. Ital. (7), 9A (1995), 483-491. | MR 1363548 | Zbl 0851.20033

[11] Dardano, U.-Franchi, C., On group automorphisms fixing subnormal subgroups setwise, Boll. Un. Mat. Ital. (in corso di stampa). | Zbl 0967.20023

[12] Dixon, M. R.-Evans, M. J., Divisible automorphism groups, Quart. J. Math. Oxford (2), 41 (1990), 179-188. | MR 1053661 | Zbl 0696.20032

[13] Dixon, M. R.-Evans, M. J., Periodic divisible-by-finite automorphism groups are finite, J. Algebra, 137 (1991), 416-424. | MR 1094250 | Zbl 0724.20028

[14] Dixon, M. R.-Evans, M. J., On groups with a central automorphism of infinite order, Proc. Amer. Math. Soc., 114 (1992), 331-336. | MR 1072334 | Zbl 0751.20026

[15] Franciosi, S.-De Giovanni, F., A note on groups with countable automorphism groups, Arch. Math. (Basel), 47 (1986), 12-16. | MR 855132 | Zbl 0582.20024

[16] Franciosi, S.-De Giovanni, F., Some finiteness conditions for automorphism groups, Glasgow Math. J., 29 (1987), 259-265. | MR 901673 | Zbl 0625.20030

[17] Franciosi, S.-De Giovanni, F., On automorphisms fixing normal subgroups of nilpotent groups, Boll. Un. Mat. Ital. (7), 1B (1987), 1161-1170. | MR 923446 | Zbl 0635.20014

[18] Franciosi, S.-De Giovanni, F., On automorphisms fixing subnormal subgroups of soluble groups, Rend. Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. (8), 82 (1988), 217-222. | MR 1152643 | Zbl 0719.20015

[19] Franciosi, S.-De Giovanni, F., On central automorphisms of finite-by-nilpotent groups, Proc. Edinburgh Math. Soc., 33 (1990), 191-201. | MR 1057748 | Zbl 0679.20038

[20] Franciosi, S.-De Giovanni, F.-Heineken, H., On automorphisms fixing non-normal subgroups of groups, Arch. Math. (Basel), 65 (1995), 196-209. | MR 1344017 | Zbl 0839.20043

[21] Franciosi, S.-De Giovanni, F.-Newell, M. L., On central automorphisms of infinite groups, Comm. Algebra, 22 (1994), 2559-2578. | MR 1271623 | Zbl 0802.20027

[22] Franciosi, S.-De Giovanni, F.-Robinson, D. J. S., On torsion in groups whose automorphism groups have finite rank, Rocky Mountain J. Math., 17 (1987), 431-445. | MR 908251 | Zbl 0644.20026

[23] Gaschütz, W., Nichtabelsche $p$ -Gruppen besitzen äussere $p$ -Automorphismen, J. Algebra, 4 (1966), 1-2. | MR 193144 | Zbl 0142.26001

[24] Gupta, N. D.-Stonehewer, S. E., Outer automorphisms of finitely generated nilpotent groups, Arch. Math. (Basel), 31 (1978), 1-10. | MR 510070 | Zbl 0379.20031

[25] Hamkins, J. D., Every group has a terminating transfinite automorphism tower, Proc. Amer. Math. Soc., 126 (1998), 3223-3226. | MR 1487370 | Zbl 0904.20027

[26] Hulse, J. A., Automorphism towers of polycyclic groups, J. Algebra, 16 (1970), 347-398. | MR 266986 | Zbl 0207.03404

[27] Iyer, H. K., On solving the equation $Aut (X) = G$ , Rocky Mountain J. Math., 9 (1979), 653-670. | MR 560244 | Zbl 0387.20022

[28] Laue, R., Zur Charakterisierung der Fittinggruppe der Automorphismengruppe einer endlichen Gruppe, J. Algebra, 40 (1976), 618-626. | MR 412270 | Zbl 0343.20009

[29] Menegazzo, F.-Puglisi, O., Outer automorphisms of supersoluble groups, Glasgow Math. J. (in corso di stampa). | MR 1739686 | Zbl 0942.20015

[30] Menegazzo, F.-Stonehewer, S. E., On the automorphism group of a nilpotent pgroup, J. London Math. Soc., 31 (1985), 272-276. | MR 809948 | Zbl 0526.20023

[31] Miller, G. A., Groups with the same group of isomorphisms, Trans. Amer. Math. Soc., 1 (1900), 395-401. | JFM 31.0135.01 | MR 1500546

[32] Nagrebeckiĭ, V. T., On the periodic part of a group with a finite number of automorphisms, Soviet Math. Dokl., 13 (1972), 953-956. | MR 306320 | Zbl 0275.20075

[33] Pettet, M. R., Locally finite groups as automorphism groups, Arch. Math. (Basel), 48 (1987), 1-9. | MR 877999 | Zbl 0588.20023

[34] Pettet, M.R., Central automorphisms of periodic groups, Arch. Math. (Basel), 51 (1988), 20-33. | MR 954064 | Zbl 0648.20042

[35] Puglisi, O., A note on the automorphism group of a locally finite $p$ -group, Bull. London Math. Soc., 24 (1992), 437-441. | MR 1173939 | Zbl 0793.20032

[36] Puglisi, O., Outer automorphisms of hypercentral p-groups, Glasgow Math. J., 37 (1995), 243-247. | MR 1333743 | Zbl 0836.20037

[37] Rae, A.-Roseblade, J. E., Automorphism towers of extremal groups, Math. Z., 117 (1970), 70-75. | MR 276322 | Zbl 0213.30101

[38] Robinson, D. J. S., Splitting theorems for infinite groups, Symposia Math., 17 (1976), 441-470. | MR 407153 | Zbl 0442.20028

[39] Robinson, D. J. S., The vanishing of certain homology and cohomology groups, J. Pure Appl. Algebra, 7 (1976), 145-167. | MR 404478 | Zbl 0329.20032

[40] Robinson, D. J. S., Infinite torsion groups as automorphism groups, Quart. J. Math. Oxford (2), 30 (1979), 351-364. | MR 545070 | Zbl 0418.20031

[41] Robinson, D. J. S., Infinite soluble groups with no outer automorphisms, Rend. Sem. Mat. Univ. Padova, 62 (1980), 281-294. | MR 582957 | Zbl 0436.20024

[42] Robinson, D. J. S., Groups with prescribed automorphism group, Proc. Edinburgh Math. Soc., 25 (1982), 217-227. | MR 678545 | Zbl 0477.20018

[43] Robinson, D. J. S., Cohomology of locally nilpotent groups, J. Pure Appl. Algebra, 48 (1987), 281-300. | MR 917213 | Zbl 0639.20034

[44] Robinson, D. J. S., Homology and cohomology of locally supersoluble groups, Math. Proc. Cambridge Philos. Soc., 102 (1987), 233-250. | MR 898144 | Zbl 0669.20044

[45] Robinson, D. J. S., Automorphisms fixing every subnormal subgroup of a finite group, Arch. Math. (Basel), 64 (1995), 1-4. | MR 1305651 | Zbl 0813.20021

[46] Schenkman, E., On the norm of a group, Illinois J. Math., 4 (1960), 150-152. | MR 113928 | Zbl 0099.25104

[47] Thomas, S., Complete existentially closed locally finite groups, Arch. Math. (Basel), 44 (1985), 97-109. | MR 780255 | Zbl 0563.20037

[48] Thomas, S., The automorphism tower problem, Proc. Amer. Math. Soc., 95 (1985), 166-168. | MR 801316 | Zbl 0575.20030

[49] Martin Webb, U. H., Outer automorphisms of some finitely generated nilpotent groups I, J. London Math. Soc. (2), 21 (1980), 216-224. | MR 575377 | Zbl 0423.20028

[50] Wielandt, H., Eine Verallgemeinerung der invarianten Untergruppen, Math. Z., 45 (1939), 209-244. | JFM 65.0061.02 | MR 1545814

[51] Zalesskiĭ, A. E., A nilpotent $p$ -group has outer automorphisms, Soviet Math. Dokl., 12 (1971), 227-230. | Zbl 0226.20021

[52] Zalesskiĭ, A. E., An example of a torsion-free nilpotent group having no outer automorphism, Math. Notes, 11 (1972), 16-19. | MR 291291 | Zbl 0239.20046

[53] Zimmerman, J., Countable torsion FC-groups as automorphism groups, Arch. Math. (Basel), 43 (1984), 108-116. | MR 761219 | Zbl 0526.20029