Background
Adian, Sergei Ivanovich was born on January 1, 1931 in Kushchi Azerbaidjan, Russia. Son of Ivan Arakelovich and Lusik Konstantinovna (Truzian) Adian.
(Three years have passed since the publication of the Russ...)
Three years have passed since the publication of the Russian edition of this book, during which time the method described has found new applications. In 26, the author has introduced the concept of the periodic product of two groups. For any two groups G and G without elements of order 2 and for any 1 2 odd n ~ 665, a group G @ Gmay be constructed which possesses several in 1 2 teresting properties. In G @ G there are subgroups 6 and 6 isomorphic to 1 2 1 2 G and G respectively, such that 6 and 6 generate G @ G and intersect 1 2 1 2 1 2 in the identity. This operation "@" is commutative, associative and satisfies Mal'cev's postulate (see 27, p. 474), i.e., it has a certain hereditary property for subgroups. For any element x which is not conjugate to an element of either 6 1 or 6 , the relation xn = 1 holds in G @ G • From this it follows that when 2 1 2 G and G are periodic groups of exponent n, so is G @ G • In addition, if G 1 2 1 2 1 and G are free periodic groups of exponent n the group G @ G is also free 2 1 2 periodic with rank equal to the sum of the ranks of G and G • I believe that groups 1 2
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Adian, Sergei Ivanovich was born on January 1, 1931 in Kushchi Azerbaidjan, Russia. Son of Ivan Arakelovich and Lusik Konstantinovna (Truzian) Adian.
Kand. Degree in Mathematics, Moscow State Pedagogical Institute, 1955; Doctor of Philosophy in Mathematics, Steklov Mathematics Institute, Moscow, 1963.
Assistant professor, Moscow State Pedagogical Institute, 1955-1957; science researcher in mathematics, Steklov Mathematics Institute, Moscow, since 1957; head department mathematics logic, Steklov Mathematics Institute, Moscow, since 1973; professor mathematics, Lomonosov University of Moscow, since 1965.
(Three years have passed since the publication of the Russ...)
Member Academy Sciences of Russian Federation.
Married Boyko Svetlana Nikolaevna, August 14, 1968. (divorced March 17, 1983). 1 child, Elena.