The Genus of a Nilpotent R-Powered Group
, 2022 A dissertation submitted in fulfilment of the requirements for the degree of Master of Science to the Faculty of Science, University of the Witwatersrand, Johannesburg, 2022In [14], Mislin define the genus G(N) of a finitely generated nilpotent group N ...
Ginster, Carl
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The influence of the totally permutability of subgroups on σ-nilpotent residual(子群的完全置换性对σ-幂零根的影响)
Zhejiang Daxue xuebao. Lixue banSimilar to the influence on nilpotent residual of the totally permutability of subgroups,naturally,we can study their influence on σ-nilpotent residual when nilpotent groups are generalized to σ-nilpotent groups.The intersection of all normal subgroups N
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If G is a non-nilpotent group and nil(G) = {g \in G : is nilpotent for all h\in G}, the nilpotent graph of G is the graph with set of vertices G-nil(G) in which two distinct vertices are related if they generate a nilpotent subgroup of G.
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