A countability condition for primary groups presented by relations of length two
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چکیده
منابع مشابه
A Countability Condition for Primary Groups Presented by Relations of Length Two by Paul Hill
A subgroup A of the ^-primary group G is nice if p(G/A) = {pG, A }/A for all ordinals a. We consider the following countability condition: there exists a collection G of nice subgroups of G such that (0) oee. (1) 6 is closed with respect to group-theoretic union in G. (2) If A^e and if H is a subgroup of G such that {Af H}/A is countable, there exists i ? £ G such that 5 2 {-4, H\ and such that...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1969
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1969-12287-1