“von Dyck's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

von Dyck's Theorem

释义

von Dyck's Theorem

Let a Group have a presentation

so that

, where

is the Free Group with basis

and

is theNormal Subgroup generated by the

. If

is a Group with

and if

for all

, then there is a surjective homomorphism

with

forall

See also Free Group, Normal Subgroup

References

Rotman, J. J. An Introduction to the Theory of Groups, 4th ed. New York: Springer-Verlag, p. 346, 1995.

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