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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2014 Volume 7, Issue 2, Pages 186–190 (Mi jsfu363)

This article is cited in 3 papers

Hall's polynomials of finite two-generator groups of exponent seven

Alexander A. Kuznetsov, Konstantin V. Safonov

Institute of Computer Science and Telecommunications, Siberian State Aerospace University, Krasnoyarsky Rabochy, 31, Krasnoyarsk, 660014 Russia

Abstract: Let $B_k=B_0(2,7,k)$ be the largest two-generator finite group of exponent 7 and nilpotency class $k$. Hall's polynomials of $B_k$ for $k\leqslant4$ are calculated.

Keywords: periodic group, collection process, Hall's polynomials.

UDC: 517.9

Received: 13.01.2014
Received in revised form: 18.02.2014
Accepted: 24.03.2014

Language: English



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