Amaglobeli, Remeslennikov. Exponential Groups II: Groups Faithful under Tensor Completion (Stepennye gruppy II). Omsk, 1993. In Russian.

Амаглобели, М. Г. ; Ремесленников, В. Н. Степенные группы II : группы, точные при тензорном пополнении / Российская академия наук, Сибирское отделение, Институт информационных технологий и прикладной математики ; Омский государственный университет ; рецензент доктор физико-математических наук В. А. Романьков.
Омск : ИИТПМ, 1993. 20 страниц. Препринт № 11.
Мягкая обложка. Обычный формат. Тираж 100 экземпляров. Первое издание.
Состояние: обложка - хорошее, разводы на передней стороне. Блок - хорошее, скрепление прочное, текст полный.
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Amaglobeli, M. G.; Remeslennikov, V. N. Exponential Groups II: Groups Faithful under Tensor Completion / Institute of Information Technologies and Applied Mathematics, Siberian Branch of the Russian Academy of Sciences ; Omsk State University ; reviewed by V. A. Romankov, Doctor of Physical and Mathematical Sciences.
Omsk : IITAM, 1993. 20 pp. Preprint No. 11.
Paperback. Standard format. Print run of 100 copies. First edition.
Condition good: tide-marks to front wrapper; text block clean and firm, complete.

A scarce Siberian research preprint from the founding moment of the modern theory of exponential groups, issued in an edition of only one hundred copies. The paper is the second instalment of the Omsk series inaugurated by Alexei Myasnikov and Vladimir Remeslennikov with Preprint No. 9, whose contents appeared the following year in the Siberian Mathematical Journal and became the standard reference for the category of MR-groups, groups equipped with exponents from an arbitrary associative unitary ring. Here Amaglobeli and Remeslennikov take up the class of partial A-groups that embed isomorphically into their own tensor completion over the ring A, proving closure of faithfulness under direct products, analysing the elementary step of the tensor completion construction through free products with amalgamation, and classifying the maximal abelian subgroups that arise. Vladimir Remeslennikov (1937-2018) was one of the central figures of the Novosibirsk and Omsk algebraic schools, and the machinery developed in this series fed directly into the algebraic geometry over groups programme that later underpinned the solution of the Tarski problems on free groups. Mamuka Amaglobeli, subsequently professor at Ivane Javakhishvili Tbilisi State University, has continued this line of research for three decades, and the preprint is thus also an early document of Georgian participation in the Siberian group-theoretic school. Ephemeral institutional preprints of the early post-Soviet years survive in very small numbers: printed on cheap paper for internal distribution at a moment of near-total collapse of Russian academic publishing, they were rarely retained outside a handful of specialist libraries. Of interest to collectors of twentieth-century mathematics, historians of Soviet and post-Soviet science, and institutions building holdings in combinatorial and geometric group theory.