Embedding Groups of Class Two and Prime Exponent in Capable and Non-capable Groups
نویسنده
چکیده
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.
منابع مشابه
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