Subgroups of $\pi\sb *(L\sb 2T(1))$ at the prime two
نویسندگان
چکیده
منابع مشابه
Subgroups of Capable Groups of Class Two and Prime Exponent
We show that if G is any p-group of class at most two and exponent p, then there exist groups G1 and G2 of class two and exponent p that contain G, neither of which can be expressed as a central product, and with G1 capable and G2 not capable. We provide upper bounds for rank(Gi ) in terms of rank(G) in each case.
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The totality formed by all the operators of any group (G) which are common to all the invariant subgroups of prime index (p) constitutes a characteristic subgroup, and the corresponding quotient group is the abelian group of order pK and of type (1, 1, 1, ■■■)-\ The number of the invariant subgroups of index p is therefore pK — 1/p — 1. The given totality includes all the operators of G which a...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 2003
ISSN: 0018-2079
DOI: 10.32917/hmj/1150997980