Arindam Biswas

activity

20152026

most citedOn minimal complements in groups

14 citations · 42 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.CO2018★ 14 cited

On minimal complements in groups

Arindam Biswas, Jyoti Prakash Saha

Let $W, W^{'} \subseteq G$ be nonempty subsets in an arbitrary group $G$ . The set $W^{'}$ is said to be a complement to $W$ if $W W^{'} = G$ and it is minimal if no proper subset of $W^{'}$ is a co…

math.GR2018★ 5 cited

Logarithmic girth expander graphs of $S L_{n} (F_{p})$

Goulnara Arzhantseva, Arindam Biswas

We provide an explicit construction of finite 4-regular graphs $(Γ_{k})_{k \in N}$ with $g i r t h Γ_{k} \to \infty$ as $k \to \infty$ and $\frac{d iam Γ _{k}}{g i r t h Γ _{k}} ⩽ D$ for…

math.GR2018

On a cheeger type inequality in Cayley graphs of finite groups

Arindam Biswas

Let $G$ be a finite group. It was remarked by Breuillard-Green-Guralnick-Tao that if the Cayley graph $C (G, S)$ is an expander graph and is non-bipartite then the spectrum of the ad…

math.GR2018

Approximate Subloops in Moufang Loops

Arindam Biswas

We introduce a notion of finite approximate subloops in Moufang loops, with emphasis on the commutative case. For arbitrary Moufang loops we establish intrinsic product-set identit…

On minimal complements in groups

Logarithmic girth expander graphs of SLn​(Fp​)

On a cheeger type inequality in Cayley graphs of finite groups

Approximate Subloops in Moufang Loops

Logarithmic girth expander graphs of $S L_{n} (F_{p})$