منابع مشابه
Bogomolov Multipliers of Groups of Order 128
This note describes an algorithm for computing Bogomolov multipliers of finite solvable groups. Compared to the existing ones, this algorithm has improved performance and is able to recognize the commutator relations of the group that constitute its Bogomolov multiplier. As a sample case we use the algorithm to effectively determine the multipliers of groups of order 128. The two serving purpos...
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One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. Let be a finite group. We denote by the largest order of elements of . In this paper, we prove that some Suzuki groups are characterizable by order and the largest order of elements. In fact, we prove that if is a group with an...
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متن کاملthe order graphs of groups
let $g$ be a group. the order graph of $g$ is the (undirected)graph $gamma(g)$,those whose vertices are non-trivial subgroups of $g$ and two distinctvertices $h$ and $k$ are adjacent if and only if either$o(h)|o(k)$ or $o(k)|o(h)$. in this paper, we investigate theinterplay between the group-theoretic properties of $g$ and thegraph-theoretic properties of $gamma(g)$. for a finite group$g$, we s...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1980
ISSN: 0021-8693
DOI: 10.1016/0021-8693(80)90312-9