ON THE PRONORM OF A GROUP
Abstract The pronorm of a group G is the set $P(G)$ of all elements $g\in G$ such that X and $X^g$ are conjugate in ${\langle {X,X^g}\rangle }$ for every subgroup X of G. In general the pronorm is not a subgroup, but we give evidence of some classes of groups in which this property holds. We also investigate the structure of a generalised soluble group G whose pronorm contains a subgroup of finite index.
1976 ◽
Vol 28
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pp. 1302-1310
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1979 ◽
Vol 22
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pp. 191-194
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1982 ◽
Vol 26
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pp. 355-384
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2014 ◽
Vol 51
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pp. 547-555
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1993 ◽
Vol 21
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pp. 4173-4177
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