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Obituary: Francesco de Giovanni (1955–2024). (English) Zbl 07931007

MSC:

01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

de Giovanni, Francesco
Full Text: DOI

References:

[1] Amberg, B.; Franciosi, S.; de Giovanni, F., Groups with an \(FC\)-nilpotent triple factorization, Ricerche mat., 36, 103-114, 1987 · Zbl 0672.20013
[2] Amberg, B.; Franciosi, S.; de Giovanni, F., On normal subgroups of products of nilpotent groups, J. Austral. Math. Soc. Ser. A, 44, 275-286, 1988 · Zbl 0646.20027
[3] Amberg, B.; Franciosi, S.; de Giovanni, F., Nilpotent-by-Noetherian factorized groups, Canad. Math. Bull., 32, 391-403, 1989 · Zbl 0642.20034
[4] Amberg, B.; Franciosi, S.; de Giovanni, F., Rank formulae for factorized groups, Ukrain. Math. Z., 43, 1078-1084, 1991 · Zbl 0744.20025
[5] Amberg, B., Franciosi, S., de Giovanni, F.: Products of Groups. Claredon, Oxford (1992) · Zbl 0774.20001
[6] Brescia, M.; de Giovanni, F., Groups satisfying the double chain condition on subnormal non-normal subgroups, Adv. Group Theory Appl., 13, 83-102, 2022 · Zbl 1520.20058
[7] Catino, F., de Giovanni, F.: Some Topics in the Theory of Groups with Finite Conjugacy Classes. Aracne, Roma (2015) · Zbl 1346.20046
[8] De Falco, M.; Evans, MJ; de Giovanni, F.; Musella, C., Permutability in uncountable groups, Ann. Mat. Pura Appl. (4), 197, 1417-1427, 2018 · Zbl 1464.20007
[9] De Falco, M.; De Giovanni, F.; Heineken, H.; Musella, C., Normality in uncountable groups, Adv. Group Theory Appl.3, 3, 13-29, 2017 · Zbl 1390.20031
[10] De Falco, M.; de Giovanni, F.; Kuzucuoǧlu, M.; Musella, C., Groups whose proper subgroups have restricted infinite conjugacy classes,, Colloq. Math., 150, 281-291, 2017 · Zbl 1468.20065
[11] De Falco, M.; de Giovanni, F.; Musella, C., The Schur property for subgroup lattices of groups,, Arch. Math. (Basel), 91, 97-105, 2008 · Zbl 1151.20021
[12] De Falco, M.; de Giovanni, F.; Musella, C., Groups whose proper subgroups of infinite rank have a transitive normality relation, Mediterr. J. Math., 10, 1999-2006, 2013 · Zbl 1311.20038
[13] De Falco, M.; de Giovanni, F.; Musella, C., A note on groups of infinite rank with modular subgroup lattie, Monatsh. Math., 176, 81-86, 2015 · Zbl 1316.20028
[14] De Falco, M.; de Giovanni, F.; Musella, C., Groups whose subgroups of infinite rank are closed in the profinite topology, RACSAM, 110, 565-571, 2016 · Zbl 1357.20010
[15] De Falco, M.; de Giovanni, F.; Musella, C., Modular chains in infinite groups, Arch. Math. (Basel), 117, 601-612, 2021 · Zbl 07433917
[16] De Falco, M.; de Giovanni, F.; Musella, C.; Sysak, YP, Periodic groups with nearly modular subgroup lattice, , Illinois J. Math., 47, 189-205, 2003 · Zbl 1032.20021
[17] De Falco, M.; de Giovanni, F.; Musella, C.; Sysak, YP, Groups of infinite rank in which normality is a transitive relation, Glasgow Math. J., 56, 387-393, 2014 · Zbl 1298.20037
[18] De Falco, M.; de Giovanni, F.; Musella, C.; Sysak, YP, Uncountable groups in which normality is a transitive relation, Int. J. Algebra Comp, 29, 627-638, 2019 · Zbl 1515.20139
[19] De Falco, M.; de Giovanni, F.; Musella, C.; Schmidt, R., Detecting the index of a subgroup in the subgroup lattice, Proc. Amer. Math. Soc., 133, 979-985, 2005 · Zbl 1079.20042
[20] De Falco, M.; de Giovanni, F.; Musella, C.; Schmidt, R., Groups with metamodular subgroup lattice, Colloq. Math., 95, 231-240, 2003 · Zbl 1028.20023
[21] De Falco, M.; de Giovanni, F.; Musella, C.; Trabelsi, N., Groups whose proper subgroups of infinite rank have finite conjugacy classes, Bull. Austral. Math. Soc, 89, 41-48, 2014 · Zbl 1298.20049
[22] Ferrara, M.; de Giovanni, F., Groups whose subnormal subgroups have finite normal oscillation, Comm. Algebra, 45, 3986-3993, 2017 · Zbl 1375.20031
[23] Franciosi, S.; de Giovanni, F., On products of locally polycyclic groups, Arch. Math. (Basel), 55, 417-421, 1990 · Zbl 0718.20015
[24] Franciosi, S.; de Giovanni, F., On trifactorized soluble groups of finite rank, Geom. Dedicata., 538, 331-341, 1991 · Zbl 0722.20025
[25] Fransiosi,S., de Giovanni,F.: On products of nilpotent groups. Ricerche Mat. 44 489-506(1995) · Zbl 0919.20017
[26] Franciosi, S.; de Giovanni, F.; Heineken, H.; Newell, ML, On the Fitting length of a soluble product of nilpotent groups, Arch. Math. (Basel), 57, 313-318, 1991 · Zbl 0774.20021
[27] Franciosi, S.; de Giovanni, F.; Robinson, DJS, On torsion in groups whose automorphism groups have finite rank, Rocky Mountain J. Math., 17, 431-445, 1987 · Zbl 0644.20026
[28] de Giovanni, F., Alcuni omomorfismi tra reticoli di sottogruppi, Rend. Accad. Sci. Fis. Mat. Napoli, 45, 437-441, 1978
[29] de Giovanni, F.; Kurdachenko, LA; Russo, A., Groups satisfying the minimal condition on subgroups which are not transitively normal, Rend. Circ. Mat. Palermo, 2, 71, 397-405, 2022 · Zbl 1497.20033
[30] de Giovanni, F.; Franciosi, S., Debole complementazione in teoria dei gruppi, Ricerche mat., 30, 35-56, 1981
[31] de Giovanni, F., Franciosi, S.: Isomorphisms between lattices of normal subgroups of torsion-free nilpotent groups. Ann. Univ. Ferrara Sez. VII (N.S.) 31, 91-98 (1985) · Zbl 0584.20020
[32] de Giovanni, F.; Musella, C., Groups with nearly modular subgroup lattice, Colloq. Math., 88, 13-20, 2001 · Zbl 0985.20016
[33] de Giovanni, F.; Musella, C.; Sysak, YP, Groups with almost modular subgroup lattice, J. Algebra, 243, 738-764, 2001 · Zbl 0995.20011
[34] de Giovanni, F.; Russo, A.; Vincenzi, G., Groups with restricted conjugacy classes, Serdica Math. J., 28, 241-254, 2002 · Zbl 1031.20030
[35] de Giovanni, F.; Trombetti, M., Groups with minimax commutator subgroup, Int. J. Group Theory, 3, 9-16, 2014 · Zbl 1337.20038
[36] de Giovanni, F.; Trombetti, M., Groups of infinite rank with a locally finite term in the lower central series, Beitr. Algebra Geom., 56, 735-741, 2015 · Zbl 1331.20042
[37] de Giovanni, F.; Trombetti, M., Groups whose proper subgroups of infinite rank have polycyclic conjugacy classes, Algebra Colloq., 22, 181-188, 2015 · Zbl 1329.20044
[38] de Giovanni,F., Trombetti,M.: Infinite minimal non-hypercyclic groups, J. Algebra Appl. 14 , 1550143, 15pp (2015) · Zbl 1331.20044
[39] de Giovanni, F.; Trombetti, M., A note on uncountable groups with modular subgroup lattice, Arch. Math. (Basel), 107, 581-587, 2016 · Zbl 1369.20039
[40] de Giovanni, F.; Trombetti, M., Uncountable groups with restrictions on subgroups of large cardinality, J. Algebra, 383, 396, 2016 · Zbl 1333.20037
[41] de Giovanni, F.; Trombetti, M., Countable recognizability and nilpotency properties of groups, Rend. Circ. Mat. Palermo, 2, 66, 399-412, 2017 · Zbl 1394.20020
[42] de Giovanni, F.; Trombetti, M., A note on groups whose proper large subgroups have a transitive normality relation, Bull. Austral. Math. Soc., 95, 38-47, 2017 · Zbl 1377.20020
[43] de Giovanni, F.; Trombetti, M., Nilpotency in uncountable groups, J. Austral. Math. Soc., 103, 59-69, 2017 · Zbl 1483.20062
[44] de Giovanni, F.; Trombetti, M., Large characteristic subgroups with modular subgroup lattice, Arch. Math. (Basel), 111, 123-128, 2018 · Zbl 1448.20028
[45] de Giovanni, F.; Trombetti, M., Countable recognizability and residual properties of groups, Rend. Semin. Mat. Univ. Padova, 140, 69-80, 2018 · Zbl 1472.20064
[46] de Giovanni, F.; Trombetti, M., The class of minimax groups is countably recognizable, Monatsh. Math., 185, 81-86, 2018 · Zbl 1489.20014
[47] de Giovanni,F., Trombetti,M.: Large characteristic subgroups with restricted conjugacy classes, Results Math. 74 (166), 13pp (2019) · Zbl 1480.20070
[48] de Giovanni, F.; Trombetti, M.; Wehrfritz, BAF, Groups whose proper subgroups are linear, J. Algebra, 592, 153-168, 2022 · Zbl 1514.20126
[49] de Giovanni, F.; Trombetti, M.; Wehrfritz, BAF, Linear groups with restricted conjugacy classes, Ricerche mat., 71, 179-188, 2022 · Zbl 1522.20135
[50] de Giovanni, F.; Trombetti, M.; Wehrfritz, BAF, The upper and lower central series in linear groups, Quart. J. Math., 73, 261-275, 2022 · Zbl 1522.20131
[51] de Giovanni, F.; Trombetti, M.; Wehrfritz, BAF, Linear groups whose proper subgroups are close to being nilpotent, Commun. Algebra, 49, 3020-3033, 2021 · Zbl 1485.20090
[52] de Giovanni, F.; Trombetti, M.; Wehrfritz, BAF, Hall classes in linear groups, J. Group Theory, 2023 · Zbl 1535.20167 · doi:10.1515/jgth-2023-0063
[53] de Giovanni, F.; Trombetti, M.; Wehrfritz, BAF, Hall classes of groups with a locally finite obstruction, J. Austral. Math. Soc., 2023 · Zbl 07929528 · doi:10.1017/S1446788723000071
[54] de Giovanni, F.; Trombetti, M.; Wehrfritz, BAF, Subnormality in linear groups, J. Pure Appl. Algebra, 227, 16, 107185, 2023 · Zbl 1520.20060
[55] de Giovanni,F., Trombetti,M., Wehrfritz,B.A.F.: Hall classes of groups, RACSAM 118:50 (2024), 18pp
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