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12 p, 290.2 KB

Groups with no proper contranormal subgroups / Wehrfritz, B. A. F. (Queen Mary University of London. School of Mathematical Sciences)
We consider which groups G are nilpotent if they have a nilpotent normal subgroup N with G/N a restricted soluble group and if G is the only contranormal subgroup of G. This supplements Kurdachenko, Otal, and Subbotin work of 2009, where they consider the corresponding question but with G/N nilpotent and N a restricted soluble normal subgroup.
2020 - DOI (Digital Object Identifier)

10.5565/PUBLMAT6412008
Publicacions matemàtiques, Vol. 64 Núm. 1 (2020) , p. 183-194

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15 p, 315.9 KB

On the fixed-point set of an automorphism of a group / Wehrfritz, B. A. F.
Let Ø be an automorphism of a group G. Under variousfiniteness or solubility hypotheses, for example under polycyclicity, the commutator subgroup [G; Ø] has finite index in G if thefixed-point set CG(Ø) of Ø in G isfinite, but not conversely, even for polycyclic groups G. [...]
2013 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_57113_06
Publicacions matemàtiques, Vol. 57, Núm. 1 (2013) , p. 139-153

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