caa a22 4500 386372195 CHVBK 20180307112001.0 cr unu---uuuuu 161130e198905 xx s 000 0 eng 10.1017/S0017089500007783 doi S0017089500007783 pii (NATIONALLICENCE)cambridge-10.1017/S0017089500007783 Heineken Hermann Universität Würzburg, Fed. Rep. Germany On E-groups in the sense of Peng [Elektronische Daten] [Hermann Heineken] The groups G of the title are those in which EG(x) = {y | y G, [y, nx] = 1 for some n} is a subgroup for every x in G. We show that the quotient group G/F(G) is rather restricted for finite E-groups; in particular, soluble finite E-groups are of Fitting length 4 at most. Some criteria for infinite groups are given. Copyright © Glasgow Mathematical Journal Trust 1989 Glasgow Mathematical Journal Cambridge University Press 31/2(1989-05), 231-242 0017-0895 31:2<231 1989 31 GMJ https://doi.org/10.1017/S0017089500007783 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0017089500007783 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Heineken Hermann Universität Würzburg, Fed. Rep. Germany NATIONALLICENCE 773 0- Glasgow Mathematical Journal Cambridge University Press 31/2(1989-05), 231-242 0017-0895 31:2<231 1989 31 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge