Research publications

Curriculum Vitae

-- E. Detomi, B. Klopsch, P. Shumyatsky, Strong conciseness in profinite groups. J. London Math. Soc. (2) 00 (2020) 1--17 doi:10.1112/jlms.12342

-- E. Detomi, M. Morigi, P. Shumyatsky, Words of Engel type are concise in residually finite groups. Part II, Groups Geom. Dyn., to appear.

-- E. Detomi, G. Donadze, M. Morigi, P. Shumyatsky, On finite-by-nilpotent groups. Glasgow Mathematical Journal (2019). 1-5. doi:10.1017/S0017089519000508

38) E. Detomi, M. Morigi, P. Shumyatsky, Finite groups with small centralizers of word-values. Monatsh. Math. 191 (2020), no. 2, 257--265.

37) E. Detomi, M. Morigi, P. Shumyatsky, BFC-theorems for higher commutator subgroups. Q. J. Math. 70 (2019), no. 3, 849--858. arXiv:1803.04202.

36) E. Detomi, M. Morigi, P. Shumyatsky, Profinite groups with restricted centralizers of commutators, Proceedings A of the Royal Society of Edinburgh, MATHEMATICS (2019), p. 1-21, ISSN: 0308-2105, doi: 10.1017/prm.2019.17

35) E. Detomi, M. Morigi, P. Shumyatsky, Words of Engel type are concise in residually finite groups. Bull. Math. Sci. 9 (2019), no. 2, 1950012, 19 pp. arXiv:1711.04866.

34) Detomi, Eloisa; Lucchini, Andrea; Moscatiello, Mariapia; Spiga, Pablo; Traustason, Gunnar; Groups satisfying a strong complement property. J. Algebra 535 (2019), 35–52.

33) Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel On bounded conciseness of Engel-like words in residually finite groups. J. Algebra 521 (2019), 1–15.

32) Detomi, Eloisa; Lucchini, Andrea; Morigi, Marta Invariable generation of groups of finite rank. Adv. Group Theory Appl. 6 (2018), 69–87.

31) E. Detomi, M. Morigi, P. Shumyatsky, On profinite groups with word values covered by nilpotent subgroups, Israel J. Math. 226 (2018), no.2, 993-1008.

30) E. Detomi, M. Morigi, P. Shumyatsky, On profinite groups with commutators covered by countably many cosets, Journal of Algebra 508 (2018) 431-444, arXiv:1711.04859

29) Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel; On groups covered by locally nilpotent subgroups. Ann. Mat. Pura Appl. (4) 196 (2017), no. 4, 1525–1535.

28) Detomi, Eloisa; Lucchini, Andrea; Morigi, Marta; The limiting distribution of the product replacement algorithm for finitely generated prosoluble groups. J. Algebra 468 (2016), 49–71.

27) Detomi, Eloisa; Shumyatsky, Pavel; On the length of a finite group and of its 2-generator subgroups. Bull. Braz. Math. Soc. (N.S.) 47 (2016), no. 3, 845–852. arXiv:1501.03339

26) Detomi, Eloisa; Lucchini, Andrea; Maximal subgroups of finite soluble groups in general position. Ann. Mat. Pura Appl. (4) 195 (2016), no. 4, 1177–1183. arXiv:1502.06840

25) Detomi, Eloisa; Lucchini, Andrea; Invariable generation of prosoluble groups. Israel J. Math. 211 (2016), no. 1, 481–491. arXiv:1410.5271

24) Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel; On conciseness of words in profinite groups. J. Pure Appl. Algebra 220 (2016), no. 8, 3010–3015. arXiv:1507.03362

23) Detomi, Eloisa; Lucchini, Andrea; Roney-Dougal, Colva M.; Coprime invariable generation and minimal-exponent groups. J. Pure Appl. Algebra 219 (2015), no. 8, 3453–3465. arXiv:1410.7569

22) Detomi, Eloisa; Lucchini, Andrea; Invariable generation of permutation groups. Arch. Math. (Basel) 104 (2015), no. 4, 301–309.

21) Detomi, Eloisa; Lucchini, Andrea; Invariable generation with elements of coprime prime-power orders. J. Algebra 423 (2015), 683–701, arXiv:1409.0997

20) Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel; On countable coverings of word values in profinite groups. J. Pure Appl. Algebra 219 (2015), no. 4, 1020–1030. arXiv:1309.0636

19) Eloisa Detomi, Marta Morigi, Pavel Shumyatsky; Bounding the Exponent of a Verbal Subgroup . Ann. Mat. Pura Appl. (4) 193 (2014), no. 5, 14311441.SSN: 0373-3114 arXiv:1301.4093

18) Eloisa Detomi, Marta Morigi, Pavel Shumyatsky; Commutators and pronilpotent subgroups in profinite groups, Monatshefte fr Mathematik, 175 (2014), no. 1, 117125. DOI:10.1007/s00605-013-0538-6 arXiv:1305.5351

17) Detomi E., Lucchini A., Roney-Dougal C.M.; On the probability of generating a monolithic group. J. Algebra 407 (2014), 413--433.23)

16) E. Detomi e A. Lucchini; Probabilistic generation of finite groups with a unique minimal normal subgroup. J. London Math. Soc. (2) 87 (2013) 689–706 DOI: 10.1112/jlms/jds076.

15) E. Detomi e A. Lucchini; Characterization of finitely generated infinitely iterated wreath products, Forum Mathematicum.  (2012) ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/form.2011.144

14) Detomi, Eloisa; Lucchini, Andrea; "On the Structure of Primitive n-Sum Groups", Cubo 10 (2008), no. 3, 195--210. 20D60.

13) Detomi, Eloisa; Lucchini, Andrea; Some generalizations of the probabilistic zeta function. Ischia group theory 2006, 56--72, World Sci. Publ., Hackensack, NJ, 2007. 20P05 (11M41 20D30)

12) Detomi, Eloisa; Lucchini, Andrea; Non-prosoluble profinite groups with a rational probabilistic zeta function. J. Group Theory 10 (2007), no. 4, 453--466. 20E18 (11M41)

11) Detomi, E.; Lucchini, A.; Probabilistic non-generators in profinite groups. Ischia group theory 2004, 149--158, Contemp. Math., 402, Amer. Math. Soc., Providence, RI, 2006. 20E18 (20P05)

10) Detomi, Eloisa; Lucchini, Andrea; Profinite groups with a rational probabilistic zeta function. J. Group Theory 9 (2006), no. 2, 203--217. (Reviewer: Daniel Segal) 20E07 (11M41 20E18 20P05)

9) Detomi, Eloisa; Lucchini, Andrea; Crowns in profinite groups and applications. Noncommutative algebra and geometry, 47--62, Lect. Notes Pure Appl. Math., 243, Chapman & Hall/CRC, Boca Raton, FL, 2006.  20E18 (20E15)

8) Detomi, Eloisa; On groups with all subgroups almost subnormal. J. Aust. Math. Soc. 77 (2004), no. 2, 165--174. 20E15 (20F19)

7) Detomi, E.; Lucchini, A.; Profinite groups with multiplicative probabilistic zeta function. J. London Math. Soc. (2) 70 (2004), no. 1, 165--181. 20E18 (11M41 20E07 20E15)

6) Detomi, Eloisa; Lucchini, Andrea; Recognizing soluble groups from their probabilistic zeta functions. Bull. London Math. Soc. 35 (2003), no. 5, 659--664. 20P05 (11M41)

5) Detomi, E.; Lucchini, A.; Crowns and factorization of the probabilistic zeta function of a finite group. J. Algebra 265 (2003), no. 2, 651--668. 20P05

4) Detomi, Eloisa; Groups with many subnormal subgroups. J. Algebra 264 (2003), no. 2, 385--396. 20F19 (20D35 20E07)

3) Detomi, Eloisa; Lucchini, Andrea; Morini, Fiorenza How many elements are needed to generate a finite group with good probability? Israel J. Math. 132 (2002), 29--44. 20P05 (20B35 20H30)

2) Detomi, Eloisa; On the nilpotent length of some residually finite groups. J. Group Theory 4 (2001), no. 2, 193--197. 20F19 (20E26)

1) Detomi, Eloisa; On some products of nilpotent groups. Comm. Algebra 26 (1998), no. 10, 3239--3247. 20F16 (20D40 20F18)

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