A. Zavarnitsine

activity

20072026

most citedFinite simple groups with narrow prime spectrum

107 citations · 164 across the 23 of their papers we have counts for

collaborators

Showing 2015Show all

2 papers · 1 filter

math.GR2015

A Moufang loop with exceptional properties of associators

Ilya B. Gorshkov, Alexandre N. Grichkov, Andrei V. Zavarnitsine

We construct a Moufang loop $M$ of order $3^{19}$ and a pair $a, b$ of its elements such that the set of all elements of $M$ that associate with $a$ and $b$ does not form a subloop.…

math.GR2015★ 3 cited

Multiplication formulas in Moufang loops

Alexander N. Grishkov, Andrei V. Zavarnitsine

Using groups with triality we obtain some general multiplication formulas in Moufang loops, construct Moufang extensions of abelian groups, and describe the structure of minimal ex…