Bulletin of the Australian Mathematical Society: Volume 75 -

Remarks on the semivariation of vector measures with respect to Banach spaces.
Oscar Blasco
Published online by Cambridge University Press:

17 April 2009, pp. 469-480
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Suppose that and . It is shown that any Lp(µ)-valued measure has finite L2(v)-semivariation with respect to the tensor norm for 1 ≤ p < ∞ and finite Lq(v)-semivariation with respect to the tensor norm whenever either q = 2 and 1 ≤ p ≤ 2 or q > max{p, 2}. However there exist measures with infinite Lq-semivariation with respect to the tensor norm for any 1 ≤ q < 2. It is also shown that the measure m (A) = χA has infinite Lq-semivariation with respect to the tensor norm if q < p.

Finite groups in which some property of two-generator subgroups is transitive
Costantino Delizia, Primoz Moravec, Chiara Nicotera
Published online by Cambridge University Press:

17 April 2009, pp. 313-320
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Finite groups in which a given property of two-generator subgroups is a transitive relation are investigated. We obtain a description of such groups and prove in particular that every finite soluble-transitive group is soluble. A classification of finite nilpotent-transitive groups is also obtained.

Bulletin of the Australian Mathematical Society