On finite groups generated by strongly cosubnormal subgroups
Two subgroups A and B of a group G are cosubnormal if A and B are subnormal in their join (A, B) and are strongly cosubnormal if every subgroup of A is cosubnormal with every subgroup of B. We find necessary and sufficient conditions for A and B to be strongly cosubnormal in (A, B) and, if Z is the hypercentre of G = (A, B), we show that A and B are strongly cosubnormal if and only if G/Z is the direct product of AZ/Z and BZ/Z. We also show that projectors and residuals for certain formations...[Show more]
|Collections||ANU Research Publications|
|Source:||Journal of Algebra|
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