Nilpotent symplectic alternating algebras II
2016 ◽
Vol 26
(05)
◽
pp. 1071-1094
In this paper and its sequel we continue our study of nilpotent symplectic alternating algebras. In particular we give a full classification of such algebras of dimension 10 over any field. It is known that symplectic alternating algebras over GF(3) correspond to a special rich class [Formula: see text] of 2-Engel 3-groups of exponent 27 and under this correspondence we will see that the nilpotent algebras correspond to a subclass of [Formula: see text] that are those groups in [Formula: see text] that have an extra group theoretical property that we refer to as being powerfully nilpotent and can be described also in the context of [Formula: see text]-groups where [Formula: see text] is an arbitrary prime.
2016 ◽
Vol 15
(05)
◽
pp. 731-770
◽
2021 ◽
Vol 13(62)
(2)
◽
pp. 451-462
2020 ◽
Vol 35
(02n03)
◽
pp. 2040058
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2019 ◽
Vol 18
(12)
◽
pp. 1950239
◽
Keyword(s):
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