Advances in Group Theory 2002: Proceedings of the Intensive Bimester Dedicated to the Memory of Reinhold Baer (1902-1979), Napoli (Italy), May-June 2002Francesco De Giovanni, Martin L. Newell Aracne, 2003 - 267 |
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Newell | 1 |
Vahagn H Mikaelian | 13 |
Derek J S Robinson | 25 |
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abelian groups Algebra assume Aut(G automorphism group Baer central Chernikov group commutator subgroup contradiction Corollary denote derived length Dietzmann class elementary abelian example exponent factor group finite index Frattini subgroup G contains G is nilpotent G is soluble G satisfies GIOVANNI group G group of order group whose non-normal group with dense Gruppen gruppi infinite order isomorphic Lemma Let G Let H Lincei locally finite groups locally nilpotent locally nilpotent group maximal subgroup MD-group metabelian minimal normal subgroup modular subgroup lattice nilpotency class nilpotent groups No-group non-abelian non-normal subgroups non-trivial normal in G p-group p-group G p-subgroup P₁ permutable subgroup PG(s positive integer power automorphisms prime numbers Proc Proof proper subgroup proved PST-group Schur class simple groups soluble groups strongly locally uniform subgroup H subgroup of finite subgroup of G subnormal subgroups supersoluble Suppose Sylow subgroups Theorem 3.2 wreath product ZG-submodule