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The Genus of the Product of a Group with an Abelian Group
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由 T Pisanski 著作1989被引用 2 次 — The genus of the direct product G × A of an arbitrary finite group G and a finite abelian group A is determined for many G and most abelian groups of ...
The Genus of the Product of a Group with an Abelian Group
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The Genus of the Product of a Group with an Abelian Group · T. Pisanski, T. Tucker · Published in European journal of… 1 August 1989 · Mathematics · Eur. J. Comb.
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The Genus of the Product of a Group with an Abelian Group | CoLab
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The computation uses the Jungerman and White current graphs for abelian groups, together with some observations about the rank of G × A that may be of ...
The genus of the product of a group with an Abelian group
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The genus of the product of a group with an Abelian group. ... Details. The genus of the product of a group with an Abelian group. Pisanski, Tomaž ; Tucker ...
Abelian group
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The concept of an abelian group underlies many fundamental algebraic structures, such as fields, rings, vector spaces, and algebras. The theory of abelian ...
The product of all the elements of a finite abelian group
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2011年7月22日 — I'm trying to prove the following statements. Let G be a finite abelian group G={a1,a2,...,an}. ... Since the only element in G that is an inverse ...
On the Genus of Finite Abelian Groups
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由 M Jungerman 著作1980被引用 23 次 — The genus of a group is the minimum genus for any Cayley color graph of the group. Using the structure theorem for finite abelian groups and appropriate ...
Direct product of groups
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In mathematics, specifically in group theory, the direct product is an operation that takes two groups G and H and constructs a new group, usually denoted G ...
On the Genus of Finite Abelian Groups
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In this paper two families of toroidal groups are presented; the genus is calculated for certain abelian groups; and upper bounds are given for the genera of ...
Abelian groups and their subgroups
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2020年6月10日 — It is well known that every finite abelian group is a direct product of cyclic groups. So for every n every finite abelian group of exponent ...
1 個答案 · 5 票: Yes, this is true for any n, and one only needs twice as many building blocks as in the ordinary case.
I’m going to state it for not necessarily ...
