Zvonimir Janko
Abstract
A finite p-group G is q-self dual if every quotient of G is isomorphic to a subgroup of G. Here, we determine finite 2-groups G all of whose subgroups are q-self dual (Theorem 3) and in case p > 2 we get a classification of such groups only under the additional assumptions that Ω 1 (G) is abelian (Theorem 4).
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A finite p-group G is q-self dual if every quotient of G is isomorphic to a subgroup of G. Here, we determine finite 2-groups G all of whose subgroups are q-self dual (Theorem 3) and in case p > 2 we get a classification of such groups only under the additional assumptions that Ω 1 (G) is abelian (Theorem 4).
Key concepts: Mathematics, Quotient, Abelian group, Dual (grammatical number), Finite group, Combinatorics, Locally finite group, Group (periodic table)