View source for Betti group

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In a broad sense, the same as a [[homology group]]; in a narrow sense, the Betti group is the free part of the homology group with as domain of coefficients the group $\ZZ$ of integers, if this homology group is finitely generated. Named after E. Betti (1823–1892).

====References====
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<TR><TD valign="top">[1]</TD> <TD valign="top">  H. Seifert,   W. Threlfall,   "A textbook of topology" , Acad. Press  (1980)  (Translated from German)</TD></TR><TR><TD valign="top">[2]</TD> <TD valign="top">  P.S. Aleksandrov,   "An introduction to homological dimension theory and general combinatorial topology" , Moscow  (1975)  (In Russian)</TD></TR>
<TR><TD valign="top">[a1]</TD> <TD valign="top">  E.H. Spanier,   "Algebraic topology" , McGraw-Hill  (1966)</TD></TR>
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