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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2013 Volume 14, Issue 3, Pages 20–33 (Mi cheb285)

This article is cited in 2 papers

Generalizations of theorems of Magnus and Greendlinger

V. N. Bezverkhniy, A. E. Ustyan

Tula State Pedagogical University

Abstract: We obtain the generalizations of the well-known Magnus theorem on isomorphism of groups with one defining relation and Greendlinger's theorem on isomorphism of groups with condition $C'(\frac{1}{6})$ on the groups $C(6)$; $C(4)$ and $T(4)$, $C(3)$ and $T(6)$.

Keywords: symmetrized set, defining relations, isomorphism.

UDC: 519.14

Received: 18.09.2013



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