caa a22 4500 386307121 CHVBK 20180307111533.0 cr unu---uuuuu 161130e198804 xx s 000 0 eng 10.1017/S1446788700029803 doi S1446788700029803 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700029803 Leinen Felix Fachbereich 17-Mathematik Johannes-Gutenberg-Universität Saarstr. 21 6500 Mainz West, Germany Chief Series and Right Regular Representations of Finite p-Groups [Elektronische Daten] [Felix Leinen] We study the embeddings of a finite p-group U into Sylow p-subgroups of Sym (U) induced by the right regular representation p: U→ Sym(U). It turns out that there is a one-to-one correspondence between the chief series in U and the Sylow p-subgroups of Sym (U) containing Up. Here, the Sylow p-subgroup Pσ of Sym (U) correspoding to the chief series σ in U is characterized by the property that the intersections of Up with the terms of any chief series in Pσ form σp. Moreover, we see that p: U→ Pσ are precisely the kinds of embeddings used in a previous paper to construct the non-trivial countable algebraically closed locally finite p-groups as direct limits of finite p-groups. Copyright © Australian Mathematical Society 1988 20 D 15 nationallicence 20 B 35 nationallicence Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 225-232 1446-7887 44:2<225 1988 44 JAZ https://doi.org/10.1017/S1446788700029803 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700029803 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Leinen Felix Fachbereich 17-Mathematik Johannes-Gutenberg-Universität Saarstr. 21 6500 Mainz West, Germany NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 225-232 1446-7887 44:2<225 1988 44 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge