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The subnormal coalescence of some classes of groups of finite rank

Published online by Cambridge University Press:  09 April 2009

Mark Drukker ,
Derek J. S. Robinson  and
Ian Stewart
Mark Drukker
Affiliation:
University of WarwickCoventry, Warwickshire Cv4, 7AL England
Derek J. S. Robinson
Affiliation:
University of WarwickCoventry, Warwickshire Cv4, 7AL England
Ian Stewart
Affiliation:
University of IllinoisUrbana, Illinois 61801, U.S.A.
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A class of groups forms a (subnormal) coalition class, or is (subnormally) coalescent, if whenever H and K are subnormal -subgroups of a group G then their join <H, K> is also a subnormal -subgroup of G. Among the known coalition classes are those of finite groups and polycylic groups (Wielandt [15]); groups with maximal condition for subgroups (Baer [1]); finitely generated nilpotent groups (Baer [2]); groups with maximal or minimal condition on subnormal subgroups (Robinson [8], Roseblade [11, 12]); minimax groups (Roseblade, unpublished); and any subjunctive class of finitely generated groups (Roseblade and Stonehewer [13]).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 3 , November 1973 , pp. 324 - 327
Copyright
Copyright © Australian Mathematical Society 1973

References

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